Can Kids Analyze Catapults Using Net Torque and Force Calculations?

In summary, there are various ways to analyze a catapult or trebuchet through physics, but the easiest way for middle to early high school kids would be to view it as a lever and calculate net torque and force. However, some important factors to consider are the length of both arms, sling length, sling release angle, initial position of the sling, and overall mass of the trebuchet. Despite this, it is possible to build a trebuchet without extensive calculations, as shown by a fourth grade class project and the Yankee Siege. For those who want to model their trebuchet, there is a website available for some parameters.
  • #1
Gersty
47
1
I know there are a variety of ways to analyze a catapult or trebuchet through physics.
What is the easiest way for middle to early high school kids to carry out some worthwhile analysis?
I'm thinking if we look at it like a lever, then we can calculate the net torque given the counter-weight, projectile weight and length of both arms. Can we then take this net torque and calculate the force it would impart to the projectile?
 
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  • #2
When my son was in the fourth grade, members of his class build trebuchets and catapults as a class project - and competed one spring day. I assisted him in building his trebuchet - which was done with very little calculations.
We also visited one of the more powerful trebuchets, the Yankee Siege. Interestingly, it was also designed and built without any modelling. It has since retired from competition.

Aside from the length of both arms, there is the sling length and (very important) the sling release angle. Also the initial position of the sling and the ability of the overall mass of the trebuchet which effects its ability to roll back and forth as the counter-weight drops.

Here is a link that allows you to model many (but not all) of those parameters:

http://www.virtualtrebuchet.com/
 

What is torque and why is it important in catapults?

Torque is a measure of the twisting force on an object. In catapults, torque is important because it determines the rotational motion of the arm, which ultimately determines the distance and velocity of the projectile.

What is the relationship between force and torque?

Force and torque are closely related as torque is the product of force and the distance from the pivot point. In catapults, the force applied to the arm determines the torque, which in turn affects the launching distance of the projectile.

How does the design of a catapult affect its force and torque?

The design of a catapult can greatly impact the force and torque it can generate. For example, longer arms can produce greater torque, while a larger counterweight can increase the force applied to the arm.

What are the different types of catapults and how do they utilize torque and force?

The three main types of catapults are trebuchets, mangonels, and ballistas. Trebuchets use a counterweight to generate force and torque, while mangonels and ballistas use tension and torsion, respectively, to generate force and torque.

How can the principles of torque and force be applied to improve catapult design?

By understanding how torque and force affect the performance of catapults, scientists can make design improvements to optimize these factors. This can result in greater launching distance and accuracy of the projectile.

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