Two pulleys, one with radius 2 inches and one with radius 7 inches, are connected by a belt. if the 2 dash inch pulley is caused to rotate at 3 revolutions per minute, determine the revolutions per minute of the 7 dash inch pulley. (hint: the linear speeds of the pulleys are the same, both equal the speed of the belt.)

  6/7 revolutions per minute

Step-by-step explanation:

The relative speeds are inversely proportional to the radii, so the larger pulley is rotating at 2/7 the speed of the smaller one.

  larger pulley rotation rate = (3 rev/min)(2/7) = 6/7 rev/min

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