12. The tub of a washer goes into its spin cycle, startingfrom rest and gaining angular speed steadily for 8.00 s,at which time it is turning at 5.00 rev/s. At this point,the person doing the laundry opens the lid, and asafety switch turns off the washer. The tub smoothlvslows to rest in 12.0 s. Through how many revolutionsdoes the tub turn while it is in motion?

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Asked May 18, 2019
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12. The tub of a washer goes into its spin cycle, starting
from rest and gaining angular speed steadily for 8.00 s,
at which time it is turning at 5.00 rev/s. At this point,
the person doing the laundry opens the lid, and a
safety switch turns off the washer. The tub smoothlv
slows to rest in 12.0 s. Through how many revolutions
does the tub turn while it is in motion?
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12. The tub of a washer goes into its spin cycle, starting from rest and gaining angular speed steadily for 8.00 s, at which time it is turning at 5.00 rev/s. At this point, the person doing the laundry opens the lid, and a safety switch turns off the washer. The tub smoothlv slows to rest in 12.0 s. Through how many revolutions does the tub turn while it is in motion?

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Expert Answer

Step 1

Given: 

Case 1: when it starts from rest-

Initial angular speed = 0

Final angular speed = 5 rev/s

Time, t = 8 s

Case 2: When it comes to rest-

Initial angular speed = 5 rev/s

Final angular speed = 0

Time, t = 12 s

Find: How many revolutions does the tub turn while it is in motion

Step 2

First, solve for case 1: 

Calculate the angular acceleration by using the angular kinematic equation as: 

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Step 3

Now, calculate the angular displacement by us...

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