Two pulleys in a belt drive train where the input pulley has a 48 cm diameter running at 1000 rpm. If the output pulley needs to run at 250 rpm, what diameter should it have?

The diameter of the output pulley should be 192 cm

Explanation:

The given parameters are;

The diameter of the input pulley = 48 cm

The rpm of the input pulley = 1000 rpm

The rpm of the output pulley = 250 rpm

Where;

rpm = Rotation per minute

Therefore we have;

48 cm × 1000 rpm = d × 250 rpm(1)

Where d = The diameter of the output pulley in centimetres

Solving the above equation gives;

d = 48 cm × 1000 rpm/250 rpm = 192 cm

Therefore, the diameter of the output pulley should be 192 cm.

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