Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.00 s, it rotates 20.7 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 5.00 s? (d) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 5.00 s?

At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 5.82 m above the water. One diver runs off the edge of he cliff, tucks into a "ball," and rotates on the way down with an average angular speed of 1.83 rev/s. Ignore air resistance and etermine the number of revolutions she makes while on the way down. Number 1.99 Units rev

A particle moves 6.7 m along a circle of radius 2.0 m. (Enter the magnitudes.) (a) Through what angle does it rotate (in rad)?  rad (b) If the particle makes this trip in 1.0 s at a constant speed, what is its angular velocity (in rad/s)?  rad/s (c) What is its acceleration (in m/s2)?  m/s2

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.

A wheel rotates about a fixed axis with an initial angular velocity of 20 rad/s. During a 5.0 second interval, the angular velocity decreases to 10 rad/s. Assume the angular acceleration is constant during the 5.0 second interval.  How many radians does the wheel turn through during the 5.0 s inteval?