Concept explainers
Convert (a) 50.0 rev to radians, (b) 48π rad to revolutions, (c) 72.0 rps to rad/s, (d) 1.50 × 103 rpm to rad/s, (e) 22.0 rad/s to rpm, (f) 2.000 rad/s to deg/s.
(a)
The value of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The number of revolutions is
Formula used:
The number of radians corresponding to the revolution of a disk is,
Here,
Explanation:
Consider the expression for number of radians covered.
Substitute
Conclusion:
The value of
(b)
The value of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The value in radians is
Formula used:
The number of radians corresponding to revolutions is,
Here,
Explanation:
Consider the expression for number of radians covered
Substitute
Conclusion:
The value of
(c)
The value of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The value in revolutions per second is
Formula used:
The number of radians per second corresponding to revolutions per second is expressed as,
Here,
Explanation:
Consider the expression for angular velocity.
Substitute
Conclusion:
The value of
(d)
The value of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The value in revolutions per minute is
Formula used:
The number of radians per minute corresponding to revolutions per minute is expressed as,
Here,
Explanation:
Consider the expression for angular velocity.
Substitute
Further solve,
Conclusion:
The value of
(e)
The value of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The value in rad/s is
Formula used:
The number of radians per second corresponding to revolutions per second is expressed as,
Here,
Explanation:
Consider the expression for angular velocity.
Substitute
Further solve,
Conclusion:
The value of
(f)
The value of
Answer to Problem 19SP
Solution:
Explanation of Solution
Given data:
The value in rad/s is
Formula used:
The number of radians per second corresponding to degree per second is expressed as,
Here,
Explanation:
Consider the expression for angular velocity in degree per second
Substitute
Conclusion:
The value of
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Chapter 9 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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