a) 6.25 rad/s
The law of conservation of angular momentum states that the angular momentum must be conserved.
The angular momentum is given by:
where
I is the moment of inertia
is the angular speed
Since the angular momentum must be conserved, we can write
where we have
is the initial moment of inertia
is the initial angular speed
is the final moment of inertia
is the final angular speed
Solving for , we find
b) 28.1 J and 35.2 J
The rotational kinetic energy is given by
where
I is the moment of inertia
is the angular speed
Applying the formula, we have:
- Initial kinetic energy:
- Final kinetic energy:
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Explanation: trust
Answer:
Approximately 8 seconds (which seems to be Answer B although there is a typo)
Explanation:
Use the formula that defines acceleration of an object as the difference between its final velocity and its initial velocity divided by the time it took to go from one to the other:
We use this expression and the values given to solve for the unknown "t" (time):
Given the units of the physical quantities, the answer for t is in seconds. We round it to about 8 seconds.