The sprocket on the crankshaft of an engine power the camshaft by a chain assembly. If the engine crankshaft is turning 3250 rev

Question

3 years ago

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The sprocket on the crankshaft of an engine power the camshaft by a chain assembly. If the engine crankshaft is turning 3250 rev

olutions per minute and the sprocket has a radius of 1.5 inches, to the nearest inch how many inches of chain travel past the sprocket in one minute? To the nearest foot how many feet of chain travel past the sprocket in one minute?

Mathematics

1 answer:

Lera25 [3.4K] · Answer 1 · 2022-01-03T05:49:57+03:00

Answer:

30,631 inches
2553 feet

Step-by-step explanation:

The length of one revolution of the sprocket is ...

C = 2πr = 2π(1.5 in) = 3π in

Then the length of 3250 revolutions is ...

3250(3π in) = 30,630.53 in

About 30,631 inches of chain travel past the sprocket in one minute.

__

There are 12 inches in a foot, so the number of feet is ...

30,630.53 in/(12 in/ft) = 2552.54 ft

About 2553 feet of chain travel past in one minute.