A car with tires whose radius is 32 cm is traveling along a highway at 24.5 m/s. The mass of the tire is equal to 12.0 kg and it's mass is distributed around the outer diameter so that it's moment of inertia is I=MR². (a) What is the angular velocity of the tires? (b) Compute the rotational kinetic energy of the tire (c) Compute the total kinetic energy of the tire (d) How many revolutions will the tires make in six minutes? (e) Consider now that the car brakes with an angular acceleration of -25.5 rad/sec^2 and comes to a stop; how many revolutions will the tires have made between the time the brakes are applied and when the car stops?
A car with tires whose radius is 32 cm is traveling along a highway at 24.5 m/s. The mass of the tire is equal to 12.0 kg and it's mass is distributed around the outer diameter so that it's moment of inertia is I=MR². (a) What is the angular velocity of the tires? (b) Compute the rotational kinetic energy of the tire (c) Compute the total kinetic energy of the tire (d) How many revolutions will the tires make in six minutes? (e) Consider now that the car brakes with an angular acceleration of -25.5 rad/sec^2 and comes to a stop; how many revolutions will the tires have made between the time the brakes are applied and when the car stops?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:A car with tires whose radius is 32 cm is traveling along a highway at 24.5 m/s. The mass of the tire is equal to
12.0 kg and it's mass is distributed around the outer diameter so that it's moment of inertia is I=MR².
(a) What is the angular velocity of the tires?
(b) Compute the rotational kinetic energy of the tire
(c) Compute the total kinetic energy of the tire
(d) How many revolutions will the tires make in six minutes?
(e) Consider now that the car brakes with an angular acceleration of -25.5 rad/sec^2 and comes to a stop; how
many revolutions will the tires have made between the time the brakes are applied and when the car stops?
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