College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A figure skater begins spinning counterclockwise at an angular speed of 5.0π rad/s. She slowly pulls her arms inward and finally spins at 9.0π rad/s for 3.0 s. What is her average
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- Starting from rest at t = 0 s, a wheel undergoes a constant angular acceleration. When t = 3.8 s, the angular velocity of the wheel is 5.5 rad/s. The acceleration continues until t = 25 s, when the acceleration abruptly changes to 0 rad/s2. Through what angle does the wheel rotate in the interval t = 0 s to t = 48 s?arrow_forwardStarting from rest, a wheel with a radius of 0.58 m begins to roll across the ground in a straight line under a constant angular acceleration of 4.74 rad/s2. What is the speed of the wheel in m/s after it has rotated through 16 full revolutions?arrow_forwardThe angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant rate as the platform moves through an angle Δθ = 5.5 radians. The platform has a radius of R = 12 cm. Calculate the angular acceleration of the platform α in rad/s2.arrow_forward
- 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?arrow_forwardCheryl is riding on the edge of a merry-go-round, 2m from the center, which is rotating with an increasing angular speed. Cheryl’s tangential acceleration is 3.0m/s2. At the instant that Cheryl’s linear speed is 4.0m/s, what is Cheryl’s total acceleration?arrow_forwardA platform is rotating with an angular speed of 3.00 rad/s and an angular acceleration of 11.0 rad/s². At a point on the platform that is 1.26 m from the axis of rotation, what is the magnitude of the total acceleration a?arrow_forward
- 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 5.17 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g? X rad/s (b) What linear speed (in m/s) would a person in the centrifuge have at this acceleration? m/sarrow_forwardA strap, rod, or something comparable is used to spin up the disc. I imagine someone hand-starting a lawnmower. If he pulls the strap with a final speed before pulling the strap away, what is the rotation rate of the disk, ω in rev/s? The moment of inertia of a disc is 1/2MR2. There's no sliding. Strap's final speed = v = 0.99 m/s. The disc's radius is R = 0.3 m The disc's mass is M = 0.8 kgarrow_forwardA ceiling fan is rotating counterclockwise with a constant angular acceleration of 0.40? rad/s2 about a fixed axis perpendicular to its plane and through its center. Assume the fan starts from rest.arrow_forward
- A handbrake is applied to a rotating flywheel, initially moving counterclockwise, causing it to slow down with a constant angular acceleration of magnitude 5.00 rad/s2. Immediately after the handbrake is applied, the flywheel rotates through 52.9 rad during a 4.00 s time interval. What is the angular speed (in rad/s) of the flywheel at the end of this time interval?arrow_forwardA figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s. What was her average angular velocity in radians/second? A 720rad/s B 19.3rad/s C 4? rad/s D 9.67 rad/s E 1107 rad/sarrow_forwardA crankshaft rotating at 10.2 rad/s undergoes an angular acceleration of 2.2 rad/s^2. What is the angular velocity of the shaft after 11.0 s? Give your answer in rad/s.arrow_forward
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