The rotational inertia of an object rotating about a fixed axis is 10 kg⋅m2. Its angular velocity ω as a function of time t is given by ω(t) = αt3 − ω0, where α = 2.0 rad/s4 and ω0=4.0 rad/s.

Determine the angular displacement of the object from t=1 s to t=3 s.

Acentrifuge in a medical laboratory rotates at an angular speed of 3,700 rev/min. when switched off, it rotates through 54.0 revolutions before coming to rest. find the constant angular acceleration (in rad/s2) of the centrifuge. your response is within 10% of the correct value. this may be due to roundoff error, or you could have a mistake in your calculation. carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. rad/s2