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The spin cycles of a washing machine have two angular speeds, 436rev/min and 639

ID: 1286279 • Letter: T

Question

The spin cycles of a washing machine have two angular speeds, 436rev/min and 639rev/min . The internal diameter of the drum is 0.400m .

Part A

What is the ratio of the maximum radial force on the laundry for the higher angular speed to that for the lower speed?

Part B

What is the ratio of the maximum tangential speed of the laundry for the higher angular speed to that for the lower speed?

Part C

Find the laundry's maximum tangential speed .

Part D

Find the laundry's maximum radial acceleration, in terms of g

Explanation / Answer

a) ratio of radial forces= (w1^2)/(w2^2)

=(639/436)^2

=2.15

b) ratio = (w1 r/w2 r)

=(639/436)

=1.46

c)maximum tangential speed = wr

=(639*pi*2/60)*0.4

=26.766 m/s

d) maximum radial acc = (639*2*pi/60)^2 * 0.4

=1791.1 m/s^2

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