(a)
The comparison of the magnitude of the tangential acceleration for the instances
(a)
Answer to Problem 1Q
The magnitude of the tangential acceleration is maximum at an instant
Explanation of Solution
Given:
A disk rotating like a marry-go table.
And the
Formula used:
The tangential acceleration is directly proportional to the rate of the change in angular velocity and it is written as,
Here
Calculation:
From the given figure,
The angular velocity is constant for instants
The magnitude of the change in angular velocity with respect to the time is more at instant
Hence, the magnitude of the tangential acceleration is maximum at instant
Conclusion:
The magnitude of the tangential acceleration is maximum at instant
(b)
The comparison of the magnitude of the radial acceleration for the instances
(b)
Answer to Problem 1Q
The radial acceleration is maximum at instant
Explanation of Solution
Given:
A disk rotating like a marry-go table.
And the angular velocity vs the time graph is
Formula used:
The radial acceleration is the product of the square of the angular velocity and the radius. So it is written as
Here
Calculation:
Since the radius is constant at every time. Only the angular velocity changes with time.
And the radial acceleration is
Here,
So, more angular velocity means more radial acceleration.
Now the angular velocity at instant
The angular velocity at instant
The angular velocity at instants
Conclusion:
The radial acceleration is maximum at instant
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Chapter 10 Solutions
FUNDAMENTALS OF PHYSICS
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