Question

The tub of a washing machine goes into its spin cycle, starting from rest and gaining angular speed steadily for 8.00 s, at which time it is turning at 6.00 rev/s. At this point, the lid of the washing machine is opened, and a safety switch turns it off. The tub then smoothly slows to rest in 11.0 s. Through how many revolutions does the tub rotate while it is in motion

Answer 1

Through 57 revolutions the tub rotate while it is in motion.

What is angular speed?

Angular speed is defined as the rate of change of angular displacement, It is a scalar measurement of rotating object.

It is expressed as follows:  ω = θ / t.

Here,

Initially tub is at rest so,

ω(i) = 0 rev/s

ω(f) = 6 rev/s

time taken, t = 8 second

Now the total number of revolutions,

N = t * ( ω(i)+ ω(f) ) / 2

N1 = 8* ( 0+6 ) / 2

N1 = 24 rev

Now, when the lid is opened it's safety switch is off due to which it is uniformly decelerated and comes to rest in 11 s

N2 = 11* ( 0+6 ) / 2

N1 = 33 rev

So,

Total number of revolutions:

N = N1 + N2

N = 24 + 33

N = 57 revolutions

Thus,

Through 57 revolutions the tub rotate while it is in motion.

Learn more about angular speed here:

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