A flywheel gains a speed of 540 rpm in 6 seconds. Its angular acceleration is:

Explanation

The angular acceleration of the flywheel is calculated by converting the given angular velocity from rpm to radians/second and then using the formula: Angular acceleration (α) = (Change in angular velocity) / (Change in time). The correct calculation results in an angular acceleration of 3π radians/second², making Option A the correct answer. The other options are incorrect as they do not correctly calculate the angular acceleration.α = Δω / Δt = (540 * 2π) / (60 * 6) = (540 * 2π) / 360 = 3π rad/s²