Concept explainers
(a)
The ratio of centripetal accelerations for the fast and slow spin cycles.
(a)
Answer to Problem 59A
The ratio of centripetal accelerations for the fast and slow spin cycles is
Explanation of Solution
Given:
The
The angular velocity of the fast spin cycle is
The diameter of the drum is
Formula used:
The relation between the centripetal acceleration
Calculation:
Consider the radius of the drum is denoted by
For slow spin cycle, the centripetal acceleration is,
For fast spin cycle, the centripetal acceleration is,
The ratio of centripetal acceleration for the fast to slow spin cycle is,
Conclusion:
Thus, the ratio of centripetal accelerations for the fast and slow spin cycles is
(b)
The ratio of linear velocity of an object at the surface of the drum, for the fast and slow spin cycles.
(b)
Answer to Problem 59A
The ratio of linear velocity of the object for the fast and slow spin cycles is
Explanation of Solution
Given:
The angular velocity of the slow spin cycle is
The angular velocity of the fast spin cycle is
The diameter of the drum is
Formula used:
The relation between the linear velocity
Calculation:
Consider the radius of the drum is denoted by
For slow spin cycle, the linear velocity of an object is
For fast spin cycle, the linear velocity of an object is
The ratio of centripetal accelerations for the fast to slow spin cycles is,
Conclusion:
Thus, the ratio of linear velocity of the object for the fast and slow spin cycles is
(c)
The maximum centripetal acceleration in term of acceleration due to gravity
(c)
Answer to Problem 59A
The maximum centripetal acceleration in term of acceleration due to gravity
Explanation of Solution
Given:
The angular velocity of the slow spin cycle is
The angular velocity of the fast spin cycle is
The diameter of the drum is
Formula used:
The relation between the centripetal acceleration
Calculation:
Frompart (a), the centripetal acceleration for fast spin cycle is
As the two spin cycles are opposite in direction,
So, the difference in the acceleration
The acceleration due to gravity of the Earth as
The maximum centripetal acceleration in term of acceleration due to gravity
Conclusion:
Thus, the maximum centripetal acceleration in term of acceleration due to gravity
Chapter 8 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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Sears And Zemansky's University Physics With Modern Physics
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