Answer :
Final answer:
The constant angular acceleration of the wheel, calculated from the known final angular speed, initial angular speed (which is zero), and time, is approximately 32.2 rad/s².
Explanation:
To determine the constant angular acceleration of the wheel, we can use the formula for angular acceleration which is: α=(ωf - ωi)/t where α is the angular acceleration, ωf is the final angular speed, ωi is the initial angular speed, and t is time.
Given that the final angular speed is 98.5 rad/s and the wheel was initially at rest (thus ωi=0), the time taken is 3.06 seconds. Substituting these figures into the equation we get: α=(98.5 rad/s - 0 rad/s) / 3.06 s.
So, the constant angular acceleration of the wheel is therefore approximately 32.2 rad/s².
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