How to find shaft speed?

Author: Geoff

Oct. 21, 2024

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Shaft Speed Calculator - Engineering.com

Calculates shaft speed of high spindle machines using the shaft's diameter and revolutions per minute (RPM)

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High Speed Machining has brought major benefits to manufacturers and will continue to do so. However, with so much talk about high spindle speeds it is tempting to retrofit for as high a shaft speed as possible, but there are more things to to be considered in selecting the right spindle.

Shaft Speed in Metres Per Second
(shaft diameter(mm)/) X r.p.m.

Diameter (millimetres) of shaft

Revolutions per minute of shaft

Shaft Speed in metres per second

Shaft Speed in Feet Per Minute
(shaft diameter(in.)/3.82) X r.p.m.

Diameter (inches) of shaft

Revolutions per minute of shaft

Shaft Speed in feet per minute

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Output Shaft Speed Calculator

Enter the input shaft speed and the gear ratio into the calculator to determine the output shaft speed. This calculator helps in understanding the relationship between the input and output speeds of a gear train.

Output Shaft Speed Formula

The following formula is used to calculate the output shaft speed.

OSS = ISS / GR

Variables:

  • OSS is the output shaft speed (RPM)
  • ISS is the input shaft speed (RPM)
  • GR is the gear ratio

To calculate the output shaft speed, divide the input shaft speed by the gear ratio.

What is Output Shaft Speed?

Output shaft speed is the rotational speed at which the output shaft of a gearbox rotates. It is determined by the speed of the input shaft and the gear ratio of the gearbox. The gear ratio is the ratio of the number of teeth on the output gear to the number of teeth on the input gear. This speed is crucial for designing mechanical systems and ensuring that machinery operates within safe and efficient parameters.

How to Calculate Output Shaft Speed?

The following steps outline how to calculate the Output Shaft Speed.

  1. First, determine the input shaft speed (ISS) in revolutions per minute (RPM).
  2. Next, determine the gear ratio (GR).
  3. Next, gather the formula from above = OSS = ISS / GR.
  4. Finally, calculate the Output Shaft Speed (OSS) in RPM.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

input shaft speed (ISS) = RPM

gear ratio (GR) = 3.5

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