Answered

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A line shaft rotating at 250 rpm is connected to a grinding wheel by the pulley assembly shown in the diagram. If the grinder shaft must turn at 1200 rpm, what size pulley should be attached to the line shaft?

Sagot :

A line shaft rotating at 250 rpm is connected to a grinding wheel by the pulley assembly shown in the diagram. If the grinder shaft must turn at 1200 rpm, what size pulley should be attached to the line shaft?

grinder shaft

the radius is r=5/2=2.5 in ------> given

Find out the circumference

C=2*pi*r

C=2*pi*2.5 ------> C=5pi in

one revolution is 5pi in

so

1200rpm is

1200*5pi=6,000pi in per minute

step 2

pulley assembly

Diameter x

250 rpm

circumference is equal to -----> C=xpi in

so

xpi*250=6,000pi

simplify

250x=6,000

x=24 in

the diameter of the pulley assembly is 24 inches

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