A few days ago
Pre-calc velocity help??
Two pulleys are connected by a belt. The smaller pulley has a diameter of 8 ft and the larger pulley has a diameter of 12 ft. The smaller pulley is revolving at the rate of 60 rpm.
Find the revolutions per minute for the larger pulley.
I need help with setting up an equation. I don’t understand how to get that.
Top 1 Answers
A few days ago
Favorite Answer
Since they’re connected by a belt, you know that the tangential or linear velocity of each pulley is the same.
v1=v2
rotational and linear velocity is related by the equation v = r w.
v = tangential or linear velocity
r = radius
w (or omega) = rotational velocity
So now we set up each pulley’s velocity equation
v1=r1w1 and v2=r2w2
Since v1=v2, you can substitute one for the other and get
r1w1=r2w2
The only unknown in this equation is w2 since the problem gives you the other three values. Isolate w2 by dividing both sides by r2.
r1w1/r2 = w2
Now plug and chug.
r1 = 4ft
w1 = 60rpm
r2 = 6ft
4ft * 60rpm / 6ft = w2
240 rpm / 6 = w2
40 rpm = w2
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