A rotating water pump works by taking water in at one side of a rotating wheel,

Question

A rotating water pump works by taking water in at one side of a rotating wheel, and expelling it from the other side. If a pump with a radius of 0.120 m starts from rest and accelerates at 35.0 rad/s2, how fast will the water be traveling when it leaves the pump after it has been accelerating for 9.00 seconds? A rotating water pump works by taking water in at one side of a rotating wheel, and expelling it from the other side. If a pump with a radius of 0.120 m starts from rest and accelerates at 35.0 rad/s2, how fast will the water be traveling when it leaves the pump after it has been accelerating for 9.00 seconds?

Explanation / Answer

Note that

wf = wo + alpha * t

as wo = 0, alpha = 35 rad/s^2, t = 9.00

wf = 315 rad/s

As

vf = r wf

then

vf = 37.8 m/s [ANSWER]

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