Our rpm to feet per minute calculator is specially designed to convert rotational speed into linear speed using formula FPM=RPM×Diameter (in feet)×π.
RPM, or Revolutions Per Minute, measures how many complete rotations an object makes around a fixed axis in one minute. Feet Per Minute (FPM) quantifies linear speed, representing the distance traveled in feet over a minute.
RPM to Feet Per Minute Calculator
RPM | Diameter (feet) | Feet Per Minute (FPM) |
---|---|---|
500 | 1 | 1,571 |
1000 | 0.5 | 1,571 |
1500 | 2 | 9,425 |
2000 | 1.5 | 9,425 |
2500 | 1 | 7,854 |
3000 | 0.75 | 7,069 |
3500 | 2 | 21,991 |
4000 | 1.25 | 15,708 |
600 | 3 | 5,654 |
1200 | 2 | 7,540 |
1800 | 4 | 22,619 |
2400 | 1 | 7,854 |
2800 | 3.5 | 19,634 |
3600 | 2.5 | 14,137 |
4200 | 1.75 | 13,199 |
4800 | 4.5 | 26,179 |
5400 | 6 | 34,557 |
6000 | 2 | 12,566 |
RPM to Feet Per Minute Formula
The formula to convert RPM to Feet Per Minute is:
FPM = RPM × Circumference
Where:
- FPM is Feet Per Minute
- RPM is Revolutions Per Minute
- Circumference is the distance around the circular path in feet
To calculate the circumference, we use the formula:
Circumference = π × Diameter
Combining these, we get the comprehensive formula:
FPM = RPM × π × Diameter
Consider a grinding wheel with a diameter of 10 inches rotating at 3600 RPM. To convert this to FPM:
- Convert the diameter to feet: 10 inches ÷ 12 = 0.833 feet
- Apply the formula: FPM = 3600 × π × 0.833
- Calculate: FPM ≈ 9,425 feet per minute
This result indicates that a point on the wheel’s edge travels about 9,425 feet in one minute.
How do you convert RPM to Feet Per Minute?
Converting RPM to feet per minute involves a straightforward process:
Identify the RPM: Determine the rotational speed of the object.
Measure the diameter: Find the diameter of the rotating object in feet.
Apply the formula: Use FPM = RPM × π × Diameter.
Suppose we have a fan blade rotating at 1800 RPM with a diameter of 24 inches.
- RPM = 1800
- Diameter = 24 inches = 2 feet
- FPM = 1800 × π × 2
- FPM ≈ 11,310 feet per minute
This calculation shows that the tip of the fan blade is moving at approximately 11,310 feet per minute.
For a grinding wheel with a diameter of 3 feet rotating at 600 RPM: FPM = 600 × π × 3 ≈ 5,654 feet per minute.
For a fan blade with a diameter of 4 feet rotating at 1800 RPM: FPM = 1800 × π × 4 ≈ 22,619 feet per minute.
For a large wheel with a diameter of 6 feet rotating at 5400 RPM: FPM = 5400 × π × 6 ≈ 34,557 feet per minute.
How many feet per minute is 1200 RPM?
- For a 1-foot diameter object: FPM = 1200 × π × 1 ≈ 3,770 feet per minute
- For a 2-foot diameter object: FPM = 1200 × π × 2 ≈ 7,540 feet per minute
- A 6-inch (0.5-foot) diameter object: FPM = 1200 × π × 0.5 ≈ 1,885 feet per minute
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