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 byalpha = \frac { 4 \pi n } { t ^ { 2 } } rad s^-2.

A constant torque is acting on a wheel. If starting from rest, the whe

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 byalpha = \frac { 4 \pi n } { t ^ { 2 } } rad s^-2.
Answer» SOLUTION :Initial angularvelocity ` omega_0 = 0` Number of rotations in t seconds = N angular DISPLACEMENT` theta = 2pi n ` but , ` theta = omega_0 t + 1/2 at^2` ` 2pi n = 1/2 at^2` `alpha= (4PI n)/(t^2)`