The wheel of a belt drive rotates at 1500 rpm. The belt is subjected to an effective force of 800 N. If the power transmitted by the belt is 15 kW, calculate the diameter of the wheel.
To calculate the diameter of the wheel, we can use the formula for power transmitted by a belt drive:
Power = (2π * wheel speed * belt tension * wheel radius) / 60
Rearranging the formula to solve for wheel radius:
Wheel radius = (Power * 60) / (2π * wheel speed * belt tension)
Substitute the given values into the formula:
Wheel radius = (15,000 * 60) / (2π * 1500 * 800)
Wheel radius = 900,000 / (9,424.78)
Wheel radius ≈ 95.543 mm
Therefore, the diameter of the wheel is twice the radius:
Diameter = 2 * 95.543 mm = 191.086 mm
The diameter of the wheel is approximately 191.086 mm.