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A constant torque is acting on a wheel. ...

A constant torque is acting on a wheel. If starting from rest, the wheel makes n rotations in t seconds, show that the angular
acceleration is given by `alpha = (4pi n)/(t^(2)) rad s^(-2)`.

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To solve the problem, we need to find the angular acceleration (\( \alpha \)) of a wheel that starts from rest and makes \( n \) rotations in \( t \) seconds under the influence of a constant torque. ### Step-by-Step Solution: 1. **Understand the problem**: The wheel starts from rest, which means the initial angular velocity (\( \omega_0 \)) is 0. We are given the number of rotations (\( n \)) and the time taken (\( t \)). 2. **Convert rotations to radians**: Since one rotation corresponds to \( 2\pi \) radians, \( n \) rotations will correspond to: \[ ...
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