Problem 13.145 - DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS NOTE: This is a multi-part question. Once an answer is submitte
d, you will be unable to return to this part. A 100-ton tugboat is moving at 6 ft/s with a slack towing cable attached to a 100-ton barge that is at rest. The cable is being unwound from a drum on the tugboat at a constant rate of 5.4 ft/s and that rate is maintained after the cable becomes taut. Problem 13.145.a - Tugboat velocity Neglecting the resistance of the water, determine the velocity of the barge after the cable becomes taut. (You must provide an answer before moving to the next part.) The velocity of the TUGBOAT after the cable becomes taut is ft/s.
1 answer:
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Answer:
3.2 m
Explanation:
The equation to use to solve this problem is:
where
is the final velocity
is the initial velocity
a is the acceleration
is the distance covered
For the particle in free-fall in this problem, we have
(it starts from rest)
(acceleration due to gravity)
By re-arranging the equation, we can find the distance travelled:
Answer: angular acceleration =
Given:
Distance from center of axis = 1.6 m
Time taken to complete one revolution = 4.7 sec
Therefore, we can evaluate the angular acceleration using the following formula:
=