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The diameter of a pulley can be calculated based on the belt speed and the rotation rate of the pulley. The formula is as follows:
Pulley Diameter (m) = \( \frac{2 \times \text{Belt Speed (m/s)}}{\text{RPM}} \)
Belt speed is the linear speed of the belt, measured in units such as m/s, cm/s, ft/s, m/h, km/h, yard/s, or yard/h.
Rotation rate is the speed of the pulley, measured in RPM (revolutions per minute), rad/s (radians per second), or Hz (cycles per second).
If the belt speed is 3600 m/h (1 m/s) and the rotation rate is 60 RPM, the pulley diameter would be:
Pulley Diameter (m) = \( \frac{2 \times 1}{60} = 0.0333 \, \text{m} \)