0
RPM (revolutions per minute)
Revolutions per second:
0
Degrees per second:
0°/s
Period (seconds):
∞ s
Radians per Second to RPM Calculator
This angular velocity converter transforms radians per second (rad/s) into revolutions per minute (RPM), providing precise conversion between two fundamental units of rotational speed measurement. The calculator is essential for mechanical engineering, physics calculations, and motor specifications.
Conversion Formula:
RPM = rad/s × (60 / 2π) ≈ rad/s × 9.5493
The conversion factor 60/(2π) accounts for 60 seconds per minute and 2π radians per revolution.
Example Calculation:
If a motor shaft rotates at 10 rad/s:
RPM = 10 × (60 / 2π) = 10 × 9.5493 ≈ 95.49 RPM
RPM = 10 × (60 / 2π) = 10 × 9.5493 ≈ 95.49 RPM
The calculator simultaneously computes several related angular measurements including revolutions per second (RPS), degrees per second, and the rotational period in seconds. These additional conversions provide comprehensive rotational analysis for engineering applications.
Calculator Features:
Real-time conversion from radians per second to RPM
Additional outputs: revolutions per second, degrees per second, period
Customizable decimal precision (0-4 decimal places)
Flexible thousands separator formatting options
Visual representation of angular velocity concept
Angular velocity in rad/s represents the rate of change of angular position, while RPM quantifies complete rotations per minute. This conversion is fundamental in mechanical systems, electric motors, turbines, and rotating machinery analysis where different measurement standards are used across industries.
Technical Note: The calculator handles infinite period values when angular velocity equals zero and maintains precision across the full range of practical engineering values.