Motor Pulley Calculation

What is the calculation to determine the rotation speed of an axis in a transmission system with given pulley diameters and RPM?

Answer:

In order to calculate the rotation speed of an axis in a transmission system, we can use the formula:

n1/n2 = D2/D1

Where:

  • n1 = RPM of the motor pulley (given as 900)
  • n2 = RPM of the axis
  • D1 = Diameter of the motor pulley (given as 160 mm)
  • D2 = Diameter of the transmission pulley (given as 300 mm)

By plugging in the given values, we can calculate the RPM of the axis:

n2 = n1 * D1 / D2

n2 = 900 * 160 / 300

n2 = 144,000 / 300

n2 = 480 RPM

When dealing with a transmission system where a motor drives an axis through pulleys of different diameters, the rotation speed of the axis can be determined using the ratio of the diameters of the pulleys and the RPM of the motor pulley.

In this specific scenario, the motor has a pulley with a diameter of 160 mm and rotates at 900 RPM. The axis is connected to a transmission pulley with a diameter of 300 mm. By applying the formula n1/n2 = D2/D1, we can find the RPM of the axis.

Substituting the given values into the formula, we calculate the RPM of the axis to be 480 RPM. This means that the axis in this transmission system rotates at a speed of 480 revolutions per minute.

Understanding how to calculate the rotation speed of components in a transmission system is crucial for designing and optimizing mechanical systems for various applications.

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