COLLEGE PHYSICS
COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 8, Problem 1QAP
To determine

To Define:

The SI unit radian and explain when it is appropriate to include and when the unit should be dropped.

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Explanation of Solution

Introduction:

A unit of measurement of angles equal to approximately 57.3 °, equivalent to the angle subdued at the center of a circle by an arc equal to the radius in length.

The relationship between speed and radius of the rotation of an object can be rewritten as v= rω or ω=vr

A distance r from the point of rotation moving at v for an object or piece of an object. Since angular velocity v is the same for any rotating object element, the above equation tells us that the velocity of any rotating object element increases at the same rate as the distance r from the rotating point increases.

In measuring certain rotational speeds, we use "rotations per minute "not "degrees per second ".

When a satellite orbits the Earth, we see its speed in "miles per hour "rather than" degrees per hour". Now divide by the distance to the satellite and the orbital speed is achieved in radians per hour.

Angular acceleration is measured in radians per second per second.

The radian is a dimensionless unit that may be dropped, although the plane-angle is not an official measure (SI) and radian can be dropped.

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Chapter 8 Solutions

COLLEGE PHYSICS

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