Question

A rotating wheel requires 6.00 s to rotate 27.0 revolutions. Its angular velocity at the end of the 8.00 s interval is 96.0 rad/s. What is the constant angular acceleration of the wheel?__________rad/s2

Answer 1

The constant angular acceleration of the wheel is 12.0 rad/s².

Step-by-step explanation:

To find the constant angular acceleration, we can use the formula:

angular acceleration (α) = (final angular velocity (ω) - initial angular velocity (ω₀)) / time (t)

Given that the initial angular velocity (ω₀) is 0 rad/s, the final angular velocity (ω) is 96.0 rad/s, and the time (t) is 8.00 s, we can substitute these values into the formula to calculate the angular acceleration:

α = (96.0 rad/s - 0 rad/s) / 8.00 s = 12.0 rad/s²

Therefore, the constant angular acceleration of the wheel is 12.0 rad/s².