RPM to RPS Converter Calculator

Calculator Input

Equipment Name

Input Speed (RPM)

Gear Ratio

Use 1 for direct drive.

Slip or Loss (%)

Sample Time (seconds)

Decimal Precision

Reset

Example Data Table

Equipment	Input RPM	Gear Ratio	Slip %	Effective RPM	RPS	rad/s	Period (s)
Motor A	1,200.00	1.00	0.00	1,200.0000	20.0000	125.6637	0.0500
Blower B	1,800.00	2.00	2.00	882.0000	14.7000	92.3628	0.0680
Spindle C	3,600.00	3.00	5.00	1,140.0000	19.0000	119.3805	0.0526
Mixer D	750.00	1.50	1.00	495.0000	8.2500	51.8363	0.1212

These examples demonstrate direct drive, reduced drive speed, and slip-adjusted rotational output.

Formula Used

Direct RPS = RPM ÷ 60 Effective Output RPM = (Input RPM ÷ Gear Ratio) × (1 - Slip% ÷ 100) Effective Output RPS = Effective Output RPM ÷ 60 Angular Velocity (rad/s) = 2 × π × RPS Degrees per Second = 360 × RPS Period per Revolution (s) = 1 ÷ RPS Revolutions in Time Window = RPS × Sample Time Angle in Time Window (deg) = Revolutions × 360

This calculator extends a simple RPM-to-RPS conversion by adjusting for gear ratio and optional slip or transmission loss. That makes it practical for motors, fans, spindles, conveyors, and rotating assemblies where real output speed differs from source speed.

How to Use This Calculator

Enter a machine name if you want labeled exports.
Type the source rotational speed in RPM.
Enter the gear ratio. Use 1 for direct drive.
Add slip or loss percentage if the output speed is reduced.
Choose a sample time to estimate revolutions and angle over time.
Select decimal precision for rounded display values.
Press Convert Now to show results above the form.
Use the CSV or PDF buttons to export the calculated output.

FAQs

1. What is the difference between RPM and RPS?

RPM measures revolutions per minute, while RPS measures revolutions per second. RPS is often easier for timing, control systems, vibration work, and physics-based calculations.

2. Why does the calculator divide by 60?

There are 60 seconds in one minute. Dividing RPM by 60 converts a per-minute rotation rate into a per-second rotation rate.

3. How does gear ratio affect the output?

A higher gear ratio reduces output shaft speed when the ratio is interpreted as input-to-output reduction. This tool applies the ratio before converting the adjusted output to RPS.

4. What does slip percentage mean here?

Slip or loss percentage represents speed reduction from real-world effects such as belt slip, motor slip, or transmission inefficiency. A higher value lowers effective output RPM and RPS.

5. Why is angular velocity shown in rad/s?

Radians per second is the standard angular speed unit in engineering and physics. It is useful for torque, dynamics, rotational energy, and control-related calculations.

6. What happens when RPM is zero?

If RPM is zero, output RPS is also zero. Period and time-per-revolution values are not defined because the shaft is not rotating.

7. Can this be used for motors, fans, and CNC spindles?

Yes. It works well for many rotating systems, especially when you want both direct conversion and related outputs like angular velocity, elapsed revolutions, and effective speed after losses.

8. What do the CSV and PDF exports include?

The CSV export downloads the current calculated metrics as structured rows. The PDF export captures the visible result section, including the summary, result cards, and graph.