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A particle starts rotating from rest acc...

A particle starts rotating from rest according to the formula `theta = (t^(2)//64) - (t//8) " where " theta ` is the angle in radian and t in s . Find the angular velocity and angular acceleration at the end of 4 s .

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To find the angular velocity and angular acceleration of a particle rotating according to the formula \( \theta = \frac{t^2}{64} - \frac{t}{8} \), we will follow these steps: ### Step 1: Find the Angular Velocity Angular velocity \( \omega \) is defined as the rate of change of angular displacement \( \theta \) with respect to time \( t \). Mathematically, this is given by: \[ \omega = \frac{d\theta}{dt} \] ...
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