A 69.4-kg grindstone is a solid disk 0.54 m in diameter. You press an ax down on the rim with a normal force of 3.8 N. m The coefficient of kinetic friction between the blade and the stone is 0.0, and there is a constant friction torque of 4.6 N m between the axle of the stone and its bearings. Another force is applied tangentially at the end of a crank handle 1.0 m long to bring the stone from rest to 157.0 rev/min in 7.0 s. After the grindstone is used to sharpen the axe at a constant angular speed of 120 rev/min, it has come to rest. How much time (s) does it take the grindstone to come from 120 rev/min to rest if it is acted on by the axle friction alone?

A 69.4-kg grindstone is a solid disk 0.54 m in diameter. You press an ax down on the rim with a normal force of 3.8 N. m The coefficient of kinetic friction between the blade and the stone is 0.0, and there is a constant friction torque of 4.6 N m between the axle of the stone and its bearings. Another force is applied tangentially at the end of a crank handle 1.0 m long to bring the stone from rest to 157.0 rev/min in 7.0 s. After the grindstone is used to sharpen the axe at a constant angular speed of 120 rev/min, it has come to rest. How much time (s) does it take the grindstone to come from 120 rev/min to rest if it is acted on by the axle friction alone?

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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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

A 69.4-kg grindstone is a solid disk 0.54 m in diameter. You press an ax down
on the rim with a normal force of 3.8 N.
m
The coefficient of kinetic friction between the blade and the stone is 0.0, and
there is a constant friction torque of 4.6 N m between the axle of the stone
and its bearings. Another force is applied tangentially at the end of a crank
handle 1.0 m long to bring the stone from rest to 157.0 rev/min in 7.0 s.
After the grindstone is used to sharpen the axe at a constant angular speed of
120 rev/min, it has come to rest. How much time (s) does it take the
grindstone to come from 120 rev/min to rest if it is acted on by the axle
friction alone?
*1 = 1/2 MR2

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