Select the unknown and enter the other two quantities to convert surface speed, rotational speed or effective diameter. Supports imperial and metric length/speed units and RPM or angular-speed units.

Circumference model with no slip. Use the effective diameter at the contact surface. Gearing between the rotating part and a motor is separate.

FPM โ†” RPM Conversion Table (Diameter = 2 in)
FPM to RPM RPM to FPM
50 ft/min = 95.493 RPM60 RPM = 31.416 ft/min
75 ft/min = 143.239 RPM100 RPM = 52.360 ft/min
100 ft/min = 190.986 RPM175 RPM = 91.630 ft/min
150 ft/min = 286.479 RPM300 RPM = 157.080 ft/min
200 ft/min = 381.972 RPM600 RPM = 314.159 ft/min
300 ft/min = 572.958 RPM900 RPM = 471.239 ft/min
400 ft/min = 763.944 RPM1,200 RPM = 628.319 ft/min
500 ft/min = 954.930 RPM1,750 RPM = 916.298 ft/min
750 ft/min = 1,432.394 RPM1,800 RPM = 942.478 ft/min
1,000 ft/min = 1,909.859 RPM3,600 RPM = 1,884.956 ft/min
Formulas (D in inches): FPM = (RPM ร— ฯ€ ร— D) รท 12 and RPM = (FPM ร— 12) รท (ฯ€ ร— D). This table uses D = 2 in.
FPM โ†” RPM Conversion Table (Diameter = 4 in)
FPM to RPM RPM to FPM
100 ft/min = 95.493 RPM50 RPM = 52.360 ft/min
150 ft/min = 143.239 RPM100 RPM = 104.720 ft/min
200 ft/min = 190.986 RPM200 RPM = 209.440 ft/min
250 ft/min = 238.732 RPM300 RPM = 314.159 ft/min
300 ft/min = 286.479 RPM500 RPM = 523.599 ft/min
400 ft/min = 381.972 RPM750 RPM = 785.398 ft/min
500 ft/min = 477.465 RPM1,000 RPM = 1,047.198 ft/min
600 ft/min = 572.958 RPM1,750 RPM = 1,832.596 ft/min
750 ft/min = 716.197 RPM1,800 RPM = 1,884.956 ft/min
1,000 ft/min = 954.930 RPM3,600 RPM = 3,769.911 ft/min
Formulas (D in inches): FPM = (RPM ร— ฯ€ ร— D) รท 12 and RPM = (FPM ร— 12) รท (ฯ€ ร— D). This table uses D = 4 in.

Feet Per Minute To RPM Formula

The following formula is used to calculate RPM (Revolutions Per Minute) from FPM (Feet Per Minute).

RPM = (FPM ร— 12) / (ฯ€ ร— D)

Variables:

  • RPM is the Revolutions Per Minute
  • FPM is the Feet Per Minute
  • D is the diameter of the rotating object in inches; ฯ€ is a constant, approximately equal to 3.14159

To calculate the RPM, multiply the FPM by 12 to convert feet to inches. Then divide this result by the product of ฯ€ and the diameter of the rotating object. This will give the speed of the rotating object in Revolutions Per Minute.

What is Feet Per Minute To RPM?

Feet Per Minute to RPM (Revolutions Per Minute) is a conversion used to measure the speed or velocity at which a mechanical component is operating. This is commonly used in industries such as manufacturing and engineering. For a conveyor with no slip, belt speed and the effective circumference determine the rollerโ€™s RPM. Motor RPM also depends on any gearbox or transmission between motor and roller. Use the effective contact diameter and account separately for slip, belt stretch and gearing. The geometric formula does not establish a safe machine speed. See Sandvik Coromantโ€™s surface-speed formulas.

How to Calculate Feet Per Minute To RPM?

The following steps outline how to calculate the RPM (Revolutions Per Minute) using the Feet Per Minute (FPM) to RPM formula:


  1. First, determine the FPM (Feet Per Minute) value.
  2. Next, determine the diameter of the rotating object in inches (D).
  3. Next, gather the formula from above: RPM = (FPM * 12) / (ฯ€ * D).
  4. Finally, calculate the RPM using the formula.
  5. After inserting the variables and calculating the result, check your answer with a calculator.

Example Problem:

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

FPM (Feet Per Minute) = 60

D (effective diameter in inches) = 6. Then RPM = (60 ร— 12)/(ฯ€ ร— 6) โ‰ˆ 38.19719 RPM, or 38.2 RPM at a maximum of two decimal places.