Calculate Angular Acceleration & Time of Toy Car w/Vo, Vf, R, & C

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SUMMARY

The discussion focuses on calculating the angular acceleration (α) and time (t) for a toy car accelerating from an initial velocity (Vo) to a final velocity (Vf) over C revolutions on a circular track with a radius (R). The user attempted to use the formula Wf² = Wo² + 2*α*(C*2*π) to find α but encountered incorrect results. The challenge lies in determining time without having the acceleration value, indicating a need for a systematic approach to solving the equations of motion in rotational dynamics.

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Students and professionals in physics, engineering, or robotics who are working with rotational dynamics and need to calculate angular motion parameters for objects in circular paths.

cobrasny
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1. a) A X kg toy car accelerates at constant rate from Vo m/s to Vf m/s in C revolutions while going around a circular track of radius R cm. Find:

- α, the magnitude of the angular acceleration of the car.
- t, the time it took to reach the final speed




2. To calculate the angular acceleration, I tried velocity over radius, Vo/R and Vf/R to get delta W(omega); and then tried using the formula Wf2 = Wo2 + 2*alpha*(C*2*Pi), and solved for alpha, but got the wrong answer. I do not know how to get time without acceleration. Any help would be appreciated.
 
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Hi cobrasny,

cobrasny said:
1. a) A X kg toy car accelerates at constant rate from Vo m/s to Vf m/s in C revolutions while going around a circular track of radius R cm. Find:

- α, the magnitude of the angular acceleration of the car.
- t, the time it took to reach the final speed




2. To calculate the angular acceleration, I tried velocity over radius, Vo/R and Vf/R to get delta W(omega); and then tried using the formula Wf2 = Wo2 + 2*alpha*(C*2*Pi), and solved for alpha, but got the wrong answer.


What answer did you get?
 

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