model rocket calculator

While it is fairly easy to experimentally locate the prelaunch CG (by finding the point where the prepped rocket "balances" on a knife edge, or by . Solid propellant grain design. model rockets. The first step into space is a model rocket! Then enter the diameter (or maximum width) and choose the approximate shape of the parachute. The model rocket simulator attempts to calculate the maximum altitude of your rocket based on some parameters. The size of the fins controls a rocket's stability and the amount of weather cocking (turning into the wind). Keep track of all your flights for a rocket. 49 N. When the thrust is taken with equal force - weight - it equals five. Solving the equation: dV/dt = - W/m = -g V = Vo - g t However, even these values vary greatly from person to person. Model Rocket Motor Dimension WWW Pagewhich gives you the actual rating for specific motors. A set of equations describes the interaction between motion and force. The amateur rocket engine test stand is a structure which incorporates a method for firmly mounting the rocket engine (preferably in a nozzle-down attitude), a mounting for the propellant flow control needle valves, the fuel tank and associated plumbing, and the oxygen and nitrogen cylinders with regulators and associated plumbing. The rocket motor used in the Pathfinder Rocket above was designed by students using the information in the "How To . An A8-3 engine is used to power the rocket. Descent Rate Calculator Enter the weight of your rocket and the size of the parachute to estimate the rate at which your rocket will descend. I am assuming a two-stage rocket with a liquid fuel tank, plus a payload (nosecone-shaped for example), so the configuration is something like a hollow cylinder with an inner cylinder that decreases in height with time. Parachute Calculators. This allows air to flow through, increas-ing the descent rate.The larger this spill hole the faster the model will fall. T h e vertical tra jectory of a rocket is d escrib ed by th e altitu d e, velocity, an d total m ass, h (t), V (t), m (t), w h ich are fu n ction s of tim e. T h ese are called state variables of th e rocket. 1) Select an object on the plans you already have (e.g., the wingspan) and measure is using length units. diameter, having a basic mass of 65 grams and powered by a C6-5 motor. 1.The Rocket is a rigid body. This simulator is not meant to replace expensive applications such as RockSim, but hopefully it still has a use for people who can't afford RockSim or just want to run some quick simulations. They come in small medium and large. EMRR is the internet's largest collection of rocketry product reviews and articles. Images generated are 150 dpi PNGs. You can also calculate map scale, distance on map and distance in real life on Map Scale Calculator page. F igu re 1 sh ow s p lots of th ese fu n ction s for a typ ical tra jectory. Consider a model rocket of 2.54 cm. Model rocketry is a sport that involves designing, constructing and launching self-made rockets. The loaded mass Plot the trajectory of the rocket missile for angles between 10° and 90° in 1° increments. Rocketman parachute packs are made out durable fabric that allows you mount a recovery chute on your model airplane. This calculator is designed to give you an approximation or estimation as to how much black powder to use for an ejection charge for rocketry. Calculator for all your NAR and Tripoli high powered rocket needs. Project Orion was a study conducted between the 1950s and 1960s by the United States Air Force, DARPA, and NASA for the purpose of identifying the efficacy of a starship directly propelled by a series of explosions of atomic bombs behind the craft via nuclear pulse propulsion.Early versions of this vehicle were proposed to take off from the ground; later versions were presented for use only in . VCP - Author: Gary Crowell:Visual Center of Pressure: a software tool for doing Barrowman and extended Barrowman calculations for model/experimental rocket.VCP is a Barrowman CP/CG stability calculator for Windows using spreadsheet style operation for easy looks at what-if tradeoffs when designing rockets. W = the weight of the rocket. First the area of the parachute is calculated: A = 2 m g ρ v T 2 C D {\displaystyle A= {2mg \over {\rho v_ {T}^ {2}C_ {D}}}} where. Rocket Calculator. Leverage state of the art Six-Degrees-of-Freedom flight simulation with over 50 variables. Example: Calculate the maximum altitude A of the model rocket if the distance from the camera to the calibration tape measure D is 1 meter, the distance from the camera to the launch pad L is 50 meters, and the maximum altitude of the model rocket measured on the tape measure H is 1.2 m. For Standard high powered rockets around 3-4 inches in diameter, 10 to 15 PSI is typical. Model, save and optimise your own rocket, motor and launch set-ups. Scale Calculator for Model Airplane Plans. Ebay port hole sizes. Consult a mentor prior to first use. Since the beginning of launching rockets, people wanted to know how high their rocket flies. While launching a model rocket into space is . Always test black powder charges at a safe distance away, never touching the rocket! 3.Flow over the rocket is potential flow. The calculation is a two step process. Lately the Apple review time has been abysmal, but hopefully it will be out in 5 to 10 days. Rocket Motor Sizing Spreadsheet. It is important in model rocketry to ensure your rocket is stable. You must print at exactly 150 dpi in order to ensure that the shrouds comes out the right size. Tools for Computing the CP of Model Rockets by Lynn Kissel, LUNAR# 009. Oxidizers V 0 = 65m=s m_ fuel = 0kg=s ˆ = 0kg=m3 Also derive the exact solution V(t), h(t) for this case. 49 = 4. Scale Calculator. Some shrouds may need to be . Pentality = Max [Shipweight, (Shipweight/300)^3.2] The key take away is that every kg you add to your ship costs more than the last in terms of achievable distance. The results of this formula will allow us to derive the nozzle's exit diameter. Calculator for all your NAR and Tripoli high powered rocket needs. size of the rocket as a whole. A rocket motor simulator. \begin{equation} c_d = {F_d \over {{1 \over 2} \rho v^2 A}} \end{equation} . 2 and can be used calculate the change in velocity over time and project the flight path of a water bottle rocket during the thrust phase. Everything from the rocket fuselage to the parachute was designed by you and you couldn't be prouder. Stability is extremely important when building a rocket from scratch, but it is not a bad habit to test the stability of model rockets built from . New: InsaneRockets app built on goTenna Mesh reports live telemetry!TAP HERE and scroll down. The best way to determine final fin size is to do a center of gravity measurement and calculate the center of pressure. Ebay port hole sizes. I also added the air frame dimensions for Aerotech, PML, Always Ready Rocketry (Blue Tube) and Madcow body tubes. An open source orbital launch vehicle (rocket) payload calculator by Launcher This is a nice mechanic that prevent mega rockets ever making sense as the additional weight costs too much distance. Black powder charges. Continuing to assume constant thrust, and therefore a constant mass flow rate out of the rocket, we can model the mass of the rocket with a linear time dependence as in Equation 15. The drag force of the rocket is then calculated using Equation 2. MEAM 247b : Rocket Stability BDK : 15-Feb-2010 Do We Have to Calculate Stuff to Get a Stable Rocket? Calculation. This is the . Model rockets don't have regulations that limit altitude, but rather the weight of the rocket and amount of propellent. By ScaleCalculator.com you can easily calculate model size or model scale. <a>A</a>ssume that the atmospheric air has no effect on the trajectory of flight. The Launch Visualizer is the ultimate simulation tool for space enthusiasts. Consider a model rocket of 2.54 cm. We'll size a parachute for my LOC V2, which weighs in at 8 pounds even, or 3.6 kg. FFFFg Black Powder Calculator Warning: Use of black powder is dangerous and its purchase is prohibited under the age of 18. To calculate using a simple calculator, enter the rocket recovery mass and click or tap the Calculate button to get the size of a hexagonal parasheet without a spill hole for normal conditions. AeroFinSim is a structural analysis program for determining the forces acting on rocket fins and predicts the highest speed the rocket can safely attain. • "Build-and-Check" is Much Too Expensive • Development Cycle Time = Critical for Success • Carefully Designed Scale Model Tests Often Used • Computational Models Almost Always Used • Analytical Insights From Simple Models Essential to calculate the change in velocity per unit volume. Parachute Calculators. While fins vary widely in shape and size depending on the rocket they're attached to, they are almost always present. Parachutes & Packs for Model Airplanes, UAV & RPVs. Rocket Calculator. If you use a piston ejection systems or another specialized system, you will require less. Calculate Parachute Size Estimate the size of the parachute to use for your rocket. Assume an aerodynamic drag coefficient (CD) of 0.75. Pressure is set by desired force, or force can be set by specifying the desired pressure. Calculation. The assumed drag coefficient is 0.40 From the manufacturer specification sheet, the C6-5 motor that will power this rocket produces a total impulse of 10 N-sec and has a burn time of 1.6 seconds. As a space enthusiast, the Launch Visualizer can help satisfy your desire for space adventure, addressing challenges of actual rocket flights with simple, quick and accurate flight simulation for your model rockets. 8 = 0. A rare find, super engineering data, formulas, calculations, etc, for the experienced rocketeer or aerospace engineer. Once you have calculated the ejection charge sizes for your rocket, ground test those charge sizes several time before you fly. Written by Richard Nakka. diameter, having a basic mass of 65 grams and powered by a C6-5 motor. I.e., no turbulence, vortices, or friction. In th is case, th e ini tial value s for Calculate Streamer Size Calculate the size of the streamer to use for your rocket. Calculations and Reporting 1a) As a test case, run your simulation program with the following inputs, corresponding to an impulsive launch, followed by a ballistic ight in vacuum. The rocket uses a BT-20 body tube. Most model rockets only reach altitudes of 200 to 2,000 feet but in 2004 a model rocket launched by the Civilian Space eXploration Team reached an altitude of about 72 miles high. Results are shown for a multi-stage rocket with variable mass, thrust, and drag. Well, after primer and paint, that BT-60 will be larger than 1.637″, and this is Scale, so the scale for such a model might as well be rounded to 1/10. AeroFinSim is a Windows GUI program. Even so, due to variations in paper thickness and tube sizes, shrouds generated by this program probably won't be 100% perfect; it is up to you to fix them if they don't come out right. VCP Rocket stability calculator for Windows BurnSim Solid Propellant Internal Ballistic Simulation AeroFinSim. In a nutshell, input your motor, nozzle and propellant characteristics and BurnSim calculates the Kn through the burn and predicts estimated chamber pressure and motor . OpenRocket is a free, fully featured model rocket simulator that allows you to design and simulate your rockets before you build and flying them. Catalog is clean and not really used, EXCEPT for pen writing in center front of cover which is noticable. How would I find out the necessary burn time for the rocket to reach V velocity? Given the diameter of the throat from the previous step, the exit diameter, and the angle of the cone we can determine the length . RASAero is likely the most accurate simulation program, with the ability to accurately calculate aerodynamic coefficients as a function of speed. Model rockets vary greatly in size, shape, weight and construction from detailed scale models of professional rockets to lightweight and highly nished competition models. Instead note that a formula is used to calculate the optimal nozzle for a rocket that will operate under 10,000 feet above ground level. Finding an equation to model the change in velocity during free flight, after burnout, is much simpler. The calculator will calculate the larger number of the ratio or X. We also house the largest RockSIM file library, Manufacturer's Recommended Motors, Hints and Tips, Flight Logs and CP databases. Add your rockets to the app to make calculations less tedious. This calculator is based on the original EMRR calculator by Jordan Hiller. to launch rockets or track them, students can work on other projects. Apogee is an analytical tool to predict the flight characteristics of model rockets. Use the 5-meter . EMRR has information for all areas of rocketry including model, competition, and high power rocketry to name a few. To calculate the size of the parachute the following equation was used, where V = the velocity. applicable to model rockets. Instructions: Enter the dimensions (in inches) of your parachute compartment. Check with your local and state laws before use. The Estes Rocket Company, the industry leader in producing model rockets, model rocket motors, and all necessary equipment, is said to have an altitude range from 100 ft to 2500 ft on average. If you have your observers take all four angle measurements, you can actually make three calculations of the height, which can help to eliminate errors in the measurments. It can also be used for . Rocket name and model: Motor and Rocket characteristics: 1 a) Rocket motor: 1 b) Total impulse, I t. 1 c) The motor burn time, t b. The gravitational acceleration at an altitude z from the Earth's surface is given in Equation 16, where R E is the radius of the Earth (6,371,000 m) and M E is . This calculator was created to help calculate the copier magnification setting for scaling model airplane (or boat, or helicopter, or car, or anything) up or down. It's mass at start is M 0, and it keeps burning until it reaches V velocity. Appendix 2: Rocket name and model . Note that m(t) = m 0 is trivial. Black Powder Charger Calculator. A rocket stabilized with fins generally requires that the CP (center of pressure) be located aft of the CG (center of gravity). 1 d) Average thrust force, F 1 e) Motor fuel mass, m p 1 f) The average fuel consumption, Altitude tracking, as used in this activity, can be used with the Paper Rockets (page 51), 3-2-1 Pop! Some model rocket manufac-turers sell Nomex® parachutes.If you want the rocket to come down slightly faster and without drifting far in windy conditions, cut a spill hole in the top of the can-opy (Fig. Metric units. MATHEMATICS AND MODEL ROCKETS Model rocketry is an extremely useful tool for teaching students in a math classroom. Be sure to read the Help section about Assumptions and Limitations of the code. This calculator determines the change in velocity (delta-v) of a spacecraft that is needed to perform a maneuver using the Tsiolkovsky rocket equation for the case when the thrust of the engine is applied in a constant direction and when no other forces (like aerodynamic drag or gravity) are acting on the rocket. In the Handbook of Model Rocketry [Stine, 1984] some values are given for a simple model and there is a beginner's level discussion on the causes of drag. Plot the maximum-range trajectory in a different color and with a thicker line. Alt = D⋅ tan(α) Alt = D ⋅ tan ( α) (D)Spotter Distance ( D) Spotter Distance (α)Angle of Flight Max ( α) Angle of Flight Max The Model Rocket Altitude calculator computes Figure 1 the estimated maximum altitude of a rocket based the distance from the launch point and the angle to top point of flight (zenith). Performance of Expansion-Type Rocket Engines: given propellant density, propellant heat capacity ratio, engine chamber pressure, engine chamber temperature, and exit pressure, this will calculate the engine's exhaust velocity and specific impulse.By Ian Mallett. The process is very simple. I am trying to model a rocket launch, and am trying to calculate its moment of inertia at each instant. Keep track of all your flights for a rocket. Model Rocketry Parachute Size Calculator For a given rocket mass give the required parachute size needed to achieve a specifed ground impact speed Drag Coefficient of the chute Cd = . A stable rocket will fly as intended, while an unstable rocket will fly in an unpredictable pattern creating a dangerous situation. Model rockets: rocket calculations page 9. The thrust will change during the burn. Cdp = the coefficient of drag for a parachute. Calculate altitude and delays with various motor to see what will work in your rocket. Calculate altitude and delays with various motor to see what will work in your rocket. The positive direction is upwards, so the weight is preceded by a negative sign. For this reason, a 5:1 is a suggestion by many experienced rocket flier and builders. High-Power Rocket . This version of Rocket Calculator includes the missing Aerotech single use D21 and E15 motors. "Supersonic Rocket CP Calculations", an article in the February 1973 Model Rocketeer discussing the behavior of the center of pressure of a rocket flying past Mach 1. 1). The value of g is a As far as I know, it works properly, but use the results at your own risk. This software will calculate the . When combined, these formulas result in Eq. Use a servo to deploy the chute. m = 3.6 kg due to all the extra stuff I've added; C d = 1.5 because the rocket uses a true domed parachute; v = 5 m/s I'm increasing v because this rocket's going pretty high and I don't want it to take forever to come down. This number stands for no square root. Parachute size is determined by the mass of the rocket, desired descent rate, and drag characteristics of the parachute. A reasonable decent rate for a model rocket is between 3.5 to 4.5 m/s. This is based on the force applied to the . The resulting scale would be 1 to 10.079 (or 1/10.079). The Altitude Calculator is calibrated for 5, 15, and 30 meter baselines. There are many factors that go into determining the height. Furthermore, the flight of a rocket launch can be confronted with real world situations. S = the area of the parachute. Say my rocket could produce F newtons of thrust while consuming M 1 kilograms of fuel per second. Stine's Handbook of Model Rocketry. Posted in Updates. Speaker, quite a few years ago, I was doing model rocketry as a hobby along with my brother. We used the approach recommended by the PDF and made a rudimentary surveyor's transit using a camera tripod upon which was mounted, via a wooden structure, a protractor to measure the angle and an old .22 calibre rifle scope with crosshairs. Model rocketry captures the students' interest and involves them in applying math concepts in a real and authentic way. . fuel on rocket performance. Other Tools Generate Rocket Names Add your rockets to the app to make calculations less tedious. on a rocket will be, and you will only need to do a swing test on unusual shaped rockets. It involves them in experimenting and testing their ideas. An object weighs kilogrammes (in ounces). This is not arbitrary but is suggested for a reason. EMRR also has a nice selection of tools including parachute and . 2.The rocket is axially symmetric. CP Technologies was started in 1994 with a three booklet/video series on how to make your own solid rocket motors. -W = F = m a = m dV/dt where W is the weight, m is the mass, V is the velocity, t is the time, a is the acceleration, and F is the net external force. The drag coefficient of the rocket, Equation 1, is used as an input to the dynamics model. This Excel spreadsheet is meant to serve as a design aid for amateur/experimental/model rockets. Enter the weight of your rocket (don't forget to include the weight of the expended motor). Usually 0.75. Many 'old rocketeers' have their own guidelines based on years of experience with various rocket designs. To help determine the right Parachute for your application first weigh the vehicle then use the Rocketman . Disclaimer: This applet calculates model rocket altitudes based on the standard Fehskens-Malewicki method. Model rocket fins are one of the most important parts of a rocket's anatomy and can determine whether the rocket flies correctly at all. This is the weight of the rocket in its entirety. The assumed drag coefficient is 0.40 From the manufacturer specification sheet, the C6-5 motor that will power this rocket produces a total impulse of 10 N-sec and has a burn time of 1.6 seconds. Using model rocket projects in a math curriculum . This value is presented on page 94 of G.H. Analyse all aspects of your simulation with advanced plotting and exporting. The Launcher Rocket Calculator was created to help solve this problem and increase transparency into the assumptions behind historical, existing, and future rockets. The custom paint job turned out better than expected and the shining exterior brings a tear to the eye. Model Rocket Stability: The Basics If you want to start scratch building your own rockets, it helps to understand a little about the theory of how rockets fly, what makes them stable, and how to check it for yourself. The center of pressure should be aft of the center of gravity by a distance of one body tube diameter or more. The loaded mass Measure from the back bulkplate all the way to the front of the tube. The sport is relatively popular and Example: Calculate the maximum altitude A of the model rocket if the distance from the camera to the calibration tape measure D is 1 meter, the distance from the camera to the launch pad L is 50 meters, and the maximum altitude of the model rocket measured on the tape measure H is 1.2 m. NARCON 2017 National Association of Rocketry Simplifying Assumptions. Experiment 2 on Drag Coefficient Compute the burn time t(little t) for the engine by dividing impulse I by thrust T: t = I / T Note also - the gravitational forceis equal to M*g, or the mass of the rocket times the acceleration of gravity (g). rho = the density of air. EstesEducator.com TR-33 Model Rocket Technical Report Calculating the Center of Pressure of a Model Rocket © 2012 Estes-Cox Corp. educator@estesrockets.com Reliable simulations. 4.The nose is not flat, but comes to a point. For example, a 16.5″ diameter for the real rocket, and 1.637″ for a BT-60. Enter the weight of your rocket and parameters for your parachute. (page 43), and Bottle Rockets (page 81) activities and with commercial model rockets. 050 x 9. A simple, easy to use spreadsheet that determines the total impulse of a motor that is required to achieve an altitude goal. Using a sophisticated numerical simulation engine based on Fehskens-Malewicki equations, users are able to calculate the flight characteristics of their simulated model rockets. There is one point for 0 on the 8. Thruster Calculator: Simulates spacecraft thrust, given rocket engine type and mission profile. RASAero is a free, combined aerodynamic analysis and flight simulation software package for model rockets and high power rockets, amateur rockets, and sounding rockets. To quote Keats, "a thing of beauty is a joy forever." The finished rocket is a wonderful testament to your prowess as a model rocket enthusiast. The X to 1 or X:1 ratio is what you are looking for to estimate stability. Black powder charges. Optionally, enter the altitude at which you expect the parachute to deploy. These booklets grew into the bookset "How To Make Amateur Rockets", which include a DVD video and software. And as of today, there are many ways to find out the altitude your rocket reached: You can use the classic way to measure your rockets flight using visual cues: By measuring the angle from a defined point, you can calculate the rocket's height. BurnSim is a solid rocket steady-state internal ballistics simulation software package for the Windows platform. Model Rocket Fins 101: Purpose, Shape, Size, and Placement. Assume that you have a model rocket that weighs 0.43 ounces without engines. How Do You Calculate The Speed Of A Rocket? Select the Rocket → Calculators → Ejection Charge Calculator option from the menu. Press the Ejection Charge Calculator button. "Wind Stability-What Barrowman Left Out", a paper by Robert Galejs (a PDF file) RockSim Rocket Design Program is available from Apogee Rockets. h = (L * tan a * sin c) / sin (b + c) You can use any of these equations to determine the height of any object from a tall tree to a flying rocket.

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model rocket calculator

model rocket calculator

20171204_154813-225x300

あけましておめでとうございます。本年も宜しくお願い致します。

シモツケの鮎の2018年新製品の情報が入りましたのでいち早く少しお伝えします(^O^)/

これから紹介する商品はあくまで今現在の形であって発売時は若干の変更がある

場合もあるのでご了承ください<(_ _)>

まず最初にお見せするのは鮎タビです。

20171204_155154

これはメジャーブラッドのタイプです。ゴールドとブラックの組み合わせがいい感じデス。

こちらは多分ソールはピンフェルトになると思います。

20171204_155144

タビの内側ですが、ネオプレーンの生地だけでなく別に柔らかい素材の生地を縫い合わして

ます。この生地のおかげで脱ぎ履きがスムーズになりそうです。

20171204_155205

こちらはネオブラッドタイプになります。シルバーとブラックの組み合わせデス

こちらのソールはフェルトです。

次に鮎タイツです。

20171204_15491220171204_154945

こちらはメジャーブラッドタイプになります。ブラックとゴールドの組み合わせです。

ゴールドの部分が発売時はもう少し明るくなる予定みたいです。

今回の変更点はひざ周りとひざの裏側のです。

鮎釣りにおいてよく擦れる部分をパットとネオプレーンでさらに強化されてます。後、足首の

ファスナーが内側になりました。軽くしゃがんでの開閉がスムーズになります。

20171204_15503220171204_155017

こちらはネオブラッドタイプになります。

こちらも足首のファスナーが内側になります。

こちらもひざ周りは強そうです。

次はライトクールシャツです。

20171204_154854

デザインが変更されてます。鮎ベストと合わせるといい感じになりそうですね(^▽^)

今年モデルのSMS-435も来年もカタログには載るみたいなので3種類のシャツを

自分の好みで選ぶことができるのがいいですね。

最後は鮎ベストです。

20171204_154813

こちらもデザインが変更されてます。チラッと見えるオレンジがいいアクセント

になってます。ファスナーも片手で簡単に開け閉めができるタイプを採用されて

るので川の中で竿を持った状態での仕掛や錨の取り出しに余計なストレスを感じ

ることなくスムーズにできるのは便利だと思います。

とりあえず簡単ですが今わかってる情報を先に紹介させていただきました。最初

にも言った通りこれらの写真は現時点での試作品になりますので発売時は多少の

変更があるかもしれませんのでご了承ください。(^o^)

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model rocket calculator

model rocket calculator

DSC_0653

気温もグッと下がって寒くなって来ました。ちょうど管理釣り場のトラウトには適水温になっているであろう、この季節。

行って来ました。京都府南部にある、ボートでトラウトが釣れる管理釣り場『通天湖』へ。

この時期、いつも大放流をされるのでホームページをチェックしてみると金曜日が放流、で自分の休みが土曜日!

これは行きたい!しかし、土曜日は子供に左右されるのが常々。とりあえず、お姉チャンに予定を聞いてみた。

「釣り行きたい。」

なんと、親父の思いを知ってか知らずか最高の返答が!ありがとう、ありがとう、どうぶつの森。

ということで向かった通天湖。道中は前日に降った雪で積雪もあり、釣り場も雪景色。

DSC_0641

昼前からスタート。とりあえずキャストを教えるところから始まり、重めのスプーンで広く探りますがマスさんは口を使ってくれません。

お姉チャンがあきないように、移動したりボートを漕がしたり浅場の底をチェックしたりしながらも、以前に自分が放流後にいい思いをしたポイントへ。

これが大正解。1投目からフェザージグにレインボーが、2投目クランクにも。

DSC_0644

さらに1.6gスプーンにも釣れてきて、どうも中層で浮いている感じ。

IMG_20171209_180220_456

お姉チャンもテンション上がって投げるも、木に引っかかったりで、なかなか掛からず。

しかし、ホスト役に徹してコチラが巻いて止めてを教えると早々にヒット!

IMG_20171212_195140_218

その後も掛かる→ばらすを何回か繰り返し、充分楽しんで時間となりました。

結果、お姉チャンも釣れて自分も満足した釣果に良い釣りができました。

「良かったなぁ釣れて。また付いて行ってあげるわ」

と帰りの車で、お褒めの言葉を頂きました。

 

 

 

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model rocket calculator

model rocket calculator

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