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1. A flywheel starts from rest until it reaches a constant angular acceleration of 5 rad/s' after 3.0 s. Calculate (a) the angular speed and (b) the angular displacement (in radians) at this time.

1. A flywheel starts from rest until it reaches a constant angular acceleration of 5 rad/s' after 3.0 s. Calculate (a) the angular speed and (b) the angular displacement (in radians) at this time.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. A flywheel starts from rest until it reaches a constant angular acceleration of 5 rad/s' after 3.0 s. Calculate (a) the angular speed and (b) the angular displacement (in radians) at this time. 2. Rolando is driving a car on a circular track of radius 200 m. If his car moves at a constant linear speed of 50.0 m/s, calculate (a) its angular speed and (b) the magnitude of its acceleration. 3. A sphere of mass 5.0 kg rolls without slipping on a floor. Suppose its center of mass is moving at 15.0 m/s, calculate the (a) translational kinetic energy and (b) rotational kinetic energy about its center of mass. 4. The blade of a steel cutter is rotating at a speed of 600 rev/min. If the radius of the blade is 7.5 cm, determine the (a) angular speed, (b) tangential speed and (c) radial acceleration of a point at the edge of the blade. 5. The engine of an airplane drives a propeller with 2.25 m in length and a mass of 90 kg. If the engine delivers a torque of 100 N-m, determine the time it takes the propeller to reach 300 rev/min on start-up.
Transcribed Image Text:1. A flywheel starts from rest until it reaches a constant angular acceleration of 5 rad/s' after 3.0 s. Calculate (a) the angular speed and (b) the angular displacement (in radians) at this time. 2. Rolando is driving a car on a circular track of radius 200 m. If his car moves at a constant linear speed of 50.0 m/s, calculate (a) its angular speed and (b) the magnitude of its acceleration. 3. A sphere of mass 5.0 kg rolls without slipping on a floor. Suppose its center of mass is moving at 15.0 m/s, calculate the (a) translational kinetic energy and (b) rotational kinetic energy about its center of mass. 4. The blade of a steel cutter is rotating at a speed of 600 rev/min. If the radius of the blade is 7.5 cm, determine the (a) angular speed, (b) tangential speed and (c) radial acceleration of a point at the edge of the blade. 5. The engine of an airplane drives a propeller with 2.25 m in length and a mass of 90 kg. If the engine delivers a torque of 100 N-m, determine the time it takes the propeller to reach 300 rev/min on start-up.
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