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## Mary is an avid game show fan and one of the contestants on a popular game show. She spins the wheel, and after 5.5 revolutions, the wheel c

Question

Mary is an avid game show fan and one of the contestants on a popular game show. She spins the wheel, and after 5.5 revolutions, the wheel comes to rest on a space that has a $1500 value prize. If the initial angular speed of the wheel is 3.15 rad/s, find the angle through which the wheel has turned when the angular speed reaches 1.80 rad/s

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Physics
2 months
2021-08-02T19:01:57+00:00
2021-08-02T19:01:57+00:00 1 Answers
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## Answers ( )

Answer:The angle is 23.2 radians, equivalent to 3.69 revolutions.

Explanation:First, we need to find the angular acceleration of the wheel. This can be done using one of the kinematic formulas:

Since the final angular velocity is zero after 5.5 revolutions (equivalent to 11π radians) we have that:

Now, using the same equation, we can solve for the requested angle:

Finally, it means that the angle through which the wheel has turned when the angular speed reaches 1.80 rad/s is 23.2 radians, equivalent to 3.69 revolutions.