A motor turns the spool of radius R = 1.0 m to lift the block of mass m = 25 kg. If the spool has moment of inertia I = 41 kg m^2 about its rotation axis, what torque must the motor apply to the spool to give the block an upward acceleration of a = 1.4 m/s^2 ?

A motor turns the spool of radius R = 1.0 m to lift the block of mass m = 25 kg. If the spool has moment of inertia I = 41 kg m^2 about its rotation axis, what torque must the motor apply to the spool to give the block an upward acceleration of a = 1.4 m/s^2 ?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 23PQ

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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.

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A motor turns the spool of radius R = 1.0 m to lift the block of mass m = 25 kg. If the
spool has moment of inertia I = 41 kg m^2 about its rotation axis, what torque must
the motor apply to the spool to give the block an upward acceleration of a = 1.4
m/s^2?

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