The initial angular velocity of a ceiling fan is 6.28 rad/s. it accelerates uniformly to 3.14 rad/s in 4.0 s. what is the angular acceleration?

The angular acceleration of the fan is

Explanation:

To calculate the angular acceleration of the fan, we use first equation of motion:

where,

v = final angular velocity of the fan = 3.14 rad/s

u = initial angular velocity of the fan = 6.28 rad/s

a = angular acceleration of the fan = ?

t = time = 4.0 sec

Putting values in above equation, we get:

Hence, the angular acceleration of the fan is

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gravitational energy

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ligh energy