A wheel starts from rest and has an angular acceleration that is given by a (t) = 6 rad/s“)t2. The angle through which it turns in time t is given by: O [(1/8)t4] rad/s O [(1/4)t^] rad/s“ O [(1/2)tª] rad/sª O (t4) rad/s4

A centrifuge in a biology laboratory rotates at an angular speed of 3,500 rev/min. When switched off, it rotates 54.0 times before coming to rest. Find the constant angular acceleration of the centrifuge (in rad/s2). Consider the direction of the initial angular velocity to be the positive direction, and include the appropriate sign in your result. rad/s? Need Help? Read It

The propeller of a World War II fighter plane is 2.50 m in diameter. (a) What is its angular velocity in radians per second if it spins at 1100 rev / min? Enter to 3 significant figures W (b) What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac? Enter to 3 significant figures V= rad/s (c) What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared Enter to 3 significant figures ac g m/s ac = ✔m/s² Compare the centripetal acceleration to the acceleration due to gravity g. Is the centripetal acceleration very large or very small compared to g? Enter to 3 significant figures = ✓ (d) State what force provided this centripetal acceleration.

Human centrifuges are used to train military pilots and astronauts in preparation for high-g maneuvers. A trained, fit person wearing a g-suit can withstand accelerations up to about 9g (88.2 m/s²) without losing consciousness. HINT (a) If a human centrifuge has a radius of 4.54 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g? rad/s (b) What linear speed (in m/s) would a person in the centrifuge have at this acceleration? m/s