A wheel with thin spokes can be considered a hoop, where I=mr. A bicycle wheel has a mass of .35 kg with a radius of .30 m and is spinning at 25 rad/s in the positive direction. Brakes apply a force of friction of 15 N at the rim. We will consider the rim of the wheel to be on the very outside of the wheel. (Remember significant digits.) a.) What is the direction of the torque provided by the brakes (positive or negative) b.) What is the magnitude of the torque applied by the brakes? Nm c.) What is the moment of angular inertia of the wheel? kgm2 d.) What is the angular acceleration of the wheel? rad/s?
A wheel with thin spokes can be considered a hoop, where I=mr. A bicycle wheel has a mass of .35 kg with a radius of .30 m and is spinning at 25 rad/s in the positive direction. Brakes apply a force of friction of 15 N at the rim. We will consider the rim of the wheel to be on the very outside of the wheel. (Remember significant digits.) a.) What is the direction of the torque provided by the brakes (positive or negative) b.) What is the magnitude of the torque applied by the brakes? Nm c.) What is the moment of angular inertia of the wheel? kgm2 d.) What is the angular acceleration of the wheel? rad/s?
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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Transcribed Image Text:A wheel with thin spokes can be considered a hoop, where I=mr. A bicycle wheel has a mass of .35
kg with a radius of .30 m and is spinning at 25 rad/s in the positive direction. Brakes apply a force of
friction of 15 N at the rim. We will consider the rim of the wheel to be on the very outside of the
wheel. (Remember significant digits.)
a.) What is the direction of the torque provided by the brakes (positive or negative)
b.) What is the magnitude of the torque applied by the brakes? Nm
c.) What is the moment of angular inertia of the wheel? kgm2
d.) What is the angular acceleration of the wheel? rad/s?
e.) How far does the wheel travel (in radians) before coming to rest? rad
f.) How long does this take? s
g.) With faulty brakes, only 8 N can be applied. How long would it take to stop the wheel under
these conditions? s
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