A pulley that has a diameter of 8 inches is belted to a pulley that has a diameter of 12 inches. The 8-inch-diameter pulley is running at 1,548 revolutions per minute. If the speeds of the pulleys vary inversely to their diameters, how many revolutions per minute does the larger pulley make?

Fortura7i

Fortura7i

Answered question

2022-08-31

A pulley that has a diameter of 8 inches is belted to a pulley that has a diameter of 12 inches. The 8-inch-diameter pulley is running at 1,548 revolutions per minute. If the speeds of the pulleys vary inversely to their diameters, how many revolutions per minute does the larger pulley make?

Answer & Explanation

Rocco Juarez

Rocco Juarez

Beginner2022-09-01Added 8 answers

The equation of variation for 8-inch-diameter pulley andits speed is,
8 = k 1548 Here , k is the variation constant.
Solve for k.
k= 12,384
Now, write the equation of variation for 12-inch-diameter pulley and its speed.
Since speed is not known, let it be s revolutions\min.
12 = k s ...(1)
You got k = 12,384.
Substitute it in (1) and solve for s.
You will get s =1032.
Thus, the larger pulley makes 1032 revolutions perminute.

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