190k views
0 votes
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?

Two pulleys in a belt drive train where the input pulley has a 48 cm diameter running-example-1

1 Answer

7 votes

Answer:

The diameter of the output pulley should be 192 cm

Step-by-step 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.

User Jonas Petersson
by
5.5k points