Explanation The mass of the uniform disk is 10.0 kg , the radius of the disk is 0.250 m , the speed of the rotation of disc is 300 rev / min , the time required to stop the disc is 1.00 min , the distance of the brake pad from the axis is 0.220 m , the coefficient of friction between pad and the disc is 0.500 and the diameter of the cylinder is 5.00 cm . The first law of angular motion is given as, ω = ω 0 + α t (I) Here, ω is the angular velocity of the disk, ω 0 is the initial velocity of the disk, α is the angular acceleration of the disk and t is the time interval. Formula to calculate the angular velocity of the disk is, ω = 2 π N 60 Here, N is the revolution in 1 minute. Substitute 2 π N 60 for ω in equation (I). 2 π N 60 = ω 0 + α t Substitute 0 for ω 0 , 300 rev / min for N and 1 min for t to find α . 2 π × 300 rev / min × 1 min 60 s 60 = 0 + α ( 1 min × 60 s 1 min ) α ( 1 min × 60 s 1 min ) = 2 π × 300 rev / min 60 α = 0.5236 rad / s 2 Formula to calculate the torque of disk is, τ = I α (II) Here, I is the moment of inertia of the disk. Formula to calculate the torque of disk is, τ = F × d Here, F is the force on the disk and d is the distance from the axis. Formula to calculate the moment of inertia of the uniform disk is, I = M R 2 Here, M is the mass of the disk and R is the radius of the disk

Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term

9th Edition

ISBN: 9781305714892

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Variation of pressure

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Question

Chapter 14, Problem 14.77AP

To determine

The pressure required for the brake fluid in the cylinder.

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Chapter 14 Solutions

Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term

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The pressure required for the brake fluid in the cylinder.

Solution Summary: The author explains the pressure required for the brake fluid in the cylinder. The mass of the uniform disk is 10.0kg.

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The pressure required for the brake fluid in the cylinder.

Chapter 14 Solutions