The 200g model rocket,Angular acceleration

AI Thread Summary
The discussion focuses on calculating the angular acceleration of a 200g model rocket generating 4.0N of thrust while spinning at the end of a 100g rigid rod. The net torque is calculated using the formula Tnet = F*d, resulting in 1.70 N·m. The angular acceleration is derived from the equation angular acc = Tnet/(M*R^2), yielding a value of 23.57 rad/s. Additionally, the total moment of inertia includes both the rocket and the rod's inertia. The calculations demonstrate the relationship between thrust, torque, and angular motion in the context of the model rocket's dynamics.
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Homework Statement


The 200g model rocket shown in figure 13.24 generates 4.0Nthrust. It spins in a horizontal circle at the end of a 100g rigid rod. what is its angular acceleration?
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Homework Equations

The Attempt at a Solution


Tnet= F*d= 4.0sin45*0.6
=1.70N.m
angular acc=Tnet/MR^2 =1.70/0.2*(0.6)^2
=23.57 rad/s
 
Last edited:
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The total moment of inertia is I of rocket plus I of rod.
 

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