A wheel rotating with a constant angular acceleration turns through 18 revolutions during a 6 s time interval. Its angular velocity at the end of this interval is 12 rad/s. What is the angular acceleration of the wheel? Note that the initial angular velocity is not zero. Answer in units of rad/s 2 .

The angular acceleration is 1.825 rad/s²

Explanation:

Given that,

Angular velocity = 12 rad/s

Number of revolution = 18

Time = 6 sec

The wheel rotates during the 6 s interval is

We need to calculate the angular acceleration

Using formula of displacement

Put the value into the formula

We need to calculate the angular acceleration

Using formula of angular acceleration

Put the value into the formula

Hence, The angular acceleration is 1.825 rad/s²

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