Calculator Inputs
Gear ratio is interpreted as input speed divided by output speed.
Example Data Table
| Scenario | RPS | Gear Ratio | Measured Shaft | Converted RPM | Other Shaft RPM |
|---|---|---|---|---|---|
| Cooling fan motor | 2.5 | 1.0 | Input | 150.0000 | 150.0000 |
| Geared conveyor | 8.0 | 4.0 | Input | 480.0000 | 120.0000 |
| Reducer output check | 3.2 | 2.5 | Output | 192.0000 | 480.0000 |
Formula Used
This calculator converts rotational frequency into revolutions per minute and extends the analysis with timing, angular velocity, and gear-adjusted shaft speed estimates.
RPM = RPS × 60
RPS = RPM ÷ 60
Angular Velocity (rad/s) = 2 × π × RPS
Period per Revolution (s) = 1 ÷ RPS
Revolutions over Time = RPS × Duration in Seconds
Output RPM = Input RPM ÷ Gear Ratio
Input RPM = Output RPM × Gear Ratio
When the entered shaft is the input shaft, the calculator divides by gear ratio to estimate output speed. When the entered shaft is the output shaft, it multiplies by gear ratio to estimate input speed.
How to Use This Calculator
- Enter the measured rotational speed in revolutions per second.
- Add the gear ratio if your system contains a reducer or multiplier.
- Choose whether the entered speed belongs to the input or output shaft.
- Set the duration to estimate how many revolutions occur over time.
- Select the preferred decimal precision for display.
- Press Convert and Analyze to show results above the form, then export them as CSV or PDF if needed.
Frequently Asked Questions
1. What does RPS mean?
RPS means revolutions per second. It shows how many full turns a rotating part completes in one second.
2. How do I convert RPS to RPM manually?
Multiply the RPS value by 60. For example, 5 RPS becomes 300 RPM.
3. Why include gear ratio in the calculation?
Gear ratio helps estimate the speed on the opposite shaft. A reducer lowers RPM, while a multiplier increases it.
4. Is frequency in hertz the same as RPS?
Yes, for simple rotational measurement, 1 hertz equals 1 revolution per second.
5. What happens when RPS is zero?
RPM becomes zero. Period-based values, such as time per revolution, cannot be computed and are shown as unavailable.
6. Can I use decimal values?
Yes. Decimal RPS values are common in testing, instrumentation, and motor speed analysis, so the calculator accepts them.
7. What does the duration field do?
It estimates total revolutions over a selected time span. This is useful for cycle counts and throughput checks.
8. When should I export the results?
Export results when you need documentation, quality records, maintenance logs, or a quick report for sharing with teammates.