How to Calculate Catapult Velocity and Maximum Height?

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  • Thread starter Thread starter Cata-tonic
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    Calculations Catapult
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Discussion Overview

The discussion revolves around calculating the total velocity of a projectile upon impact and the maximum height reached by a small catapult. Participants explore measurement techniques and formulas relevant to estimating these values, focusing on practical application and understanding of the underlying physics.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant seeks clarification on how to measure and calculate the velocity and maximum height of a projectile launched from a catapult.
  • Another participant suggests that understanding the mechanism of the catapult and the applied force during launch is crucial for estimating launch speed.
  • A different participant proposes measuring the distance the projectile lands and the launch angle to compute the necessary values.
  • A participant shares their experience with ballistics and mentions the complexity of deriving initial velocity from range and launch angle, while also describing their catapult's construction.

Areas of Agreement / Disagreement

Participants generally agree on the need for specific measurements and understanding of the catapult's mechanics, but there are multiple approaches suggested for calculating the desired values, indicating that the discussion remains unresolved.

Contextual Notes

Participants have not established a consensus on the best method for calculating the velocity and maximum height, and there are varying assumptions about the catapult's design and operation.

Cata-tonic
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hi so i had to build a catapult and it's very small, but i need to find the total velocity of the ball upon impact and the maximum height reached. You might need to explain a little bit because I tend to not get things when they are vague so please post more than a formula. Please and thank you so much!
 
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Sounds like you have the catapult and your problem is what to measure in order to be able to estimate these other values, yes?
Are we talking of something hand-held or field artillery?
What mechanism is in use? Need to know how the applied force varies during launch. Knowing that, if you can then measure the peak force you can estimate the launch speed. Everything else follows from that.
 
I'm thinking if he can measure how far downrange the projectile landed, and the angle with which it left the catapult (90 degrees minus release angle of catapult arm) then we can show him how to compute the other stuff.
 
That's what I did. Learned tons about ballistics while figuring out formulas to estimate performance. Hardest was the formula to find v_0 from range and launch angle. Cool project, built it mostly out of aluminum, with steel leaf springs to provide the force. Cables from the ends of the spring wrapped around a ratcheting drum. Anyway, if you need some help...
 

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