1.

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)`.

Answer» Here, `omega_(0) = 0, theta = 2 pi n` radian,
`t = t, alpha = ?`
As `theta = omega_(0)t + (1)/(2) alpha t^(2) :. 2pi n = 0 + (1)/(2) alpha t^(2)`
`alpha = (4pi n)/(t^(2)) rad s^(-2)`


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