The cable lifting an elevator is wrapped around a 1.0-m-diameter cylinder that is turned by the elevator’s motor. The elevator is moving upward at a speed of 1.6 m/s. It then slows to a stop as the cylinder makes one complete turn at constant angular acceleration. How long does it take for the elevator to stop?

An astronaut is being tested in a centrifuge. The centrifuge has a radius of 9.90 m and, in starting, rotates according to 0 = 0.180t², where t is in seconds and is in radians. When t = 2.90 s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration? (a) Number (b) Number (c) Number (d) Number i Units Units Units Units

The crankshaft in a race car goes from rest to 3000 rpmrpm in 3.5 ss. What is the angular acceleration of the crankshaft? How many revolutions does it make while reaching 3000 rpmrpm?

A centrifuge in a medical laboratory rotates at an angular velocity of 3600 rev/min.  When switched off, it rotates through 50.0 revolutions before coming to rest.  Find the constant angular acceleration (in rad/s2) of the centrifuge.

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant. What is the magnitude of the angular acceleration of the grindstone?

The differential gear of a car axle allows the wheel on the left side of a car to rotate at a different angular speed than the wheel on the right side. A car is driving at a constant speed around a circular track on level ground, completing each lap in 21.0 s. The distance between the tires on the left and right sides of the car is 1.00 m, and the radius of each wheel is 0.370 m. What is the difference between the angular speeds of the wheels on the left and right sides of the car? Number i Units

The tub of a washer goes into its spin cycle, starting from rest and gaining angular speed steadily for 7.00 s, at which time it is turning at 7.00 rev/s. At this point, the person doing the laundry opens the lid, and a safety switch turns off the washer. The tub smoothly slows to rest in 15.0 s. Through how many revolutions does the tub turn while it is in motion?

You have a 1.00 m long string with a bob attached to its end. You are swinging it around your head, and it completes 1.00 whole revolution every 2.00 s. What is its tangential speed, in m/s? Answer with 3 significant figures.

A light rigid rod is 77.0cm long. Its top end is pivoted on a low-friction horizontal axel. The rod hangs straight down at rest, with a small massive ball attached to its end. You stike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speed at the bottom is required to make the ball go over the top of the circle?

A disk of radius 2.25 m rotates about its axis. Points on the rim of the disk undergo tangential acceleration of magnitude 1.81 m/s?. At a particular time, the rim has a tangential speed of 1.67 m/s. At a time 0.867 s later, what is the tangential speed v of a point on the rim, the magnitude of the point's radial acceleration a,, and the magnitude of its total acceleration Arot? U = m/s ar = m/s? Atot = m/s?