A wheel rotates about a fixed axis with an initial angular velocity of 13 rad/s. During a 8-s interval the angular velocity increases to 57 rad/s. Assume that the angular acceleration was constant during this time interval. How many revolutions does the wheel turn through during this time interval

The number of revolutions is 44.6.

Explanation:

We can find the revolutions of the wheel with the following equation:

Where:

: is the initial angular velocity = 13 rad/s              

t: is the time = 8 s

α: is the angular acceleration

We can find the angular acceleration with the initial and final angular velocities:

Where:

: is the final angular velocity = 57 rad/s

Hence, the number of revolutions is:

Therefore, the number of revolutions is 44.6.

I hope it helps you!

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