Description
A tool for converting between angular velocity (RPM, rad/s) and linear velocity (m/s, ft/s), with support for radius to enable precise calculations.
This converter supports:
- Input RPM → automatically calculate rad/s, m/s, ft/s
- Input rad/s → automatically calculate RPM, m/s, ft/s
- Input m/s or ft/s → reverse-calculate RPM and rad/s using radius
- Real-time bidirectional calculation without manual switching
Key Formulas
ω (rad/s) = (2π / 60) × RPM
RPM = (60 / 2π) × ω
v (m/s) = ω × r
v (ft/s) = v (m/s) × 3.28084
Example Calculations
Example 1:
Motor speed is 3000 RPM, find angular velocity → ω = (2π / 60) × 3000 ≈ 314.16 rad/s
Example 2:
Angular velocity is 100 rad/s, find RPM → RPM = (60 / 2π) × 100 ≈ 954.93 RPM
Example 3:
Wheel radius is 0.1 m, angular velocity is 100 rad/s, find linear velocity → v = 100 × 0.1 = 10 m/s
Example 4:
Linear velocity is 10 m/s, convert to ft/s → 10 × 3.28084 ≈ 32.81 ft/s
Use Cases
- Motor and generator selection
- Car tire RPM to speed conversion
- Wind turbines, pumps, fans design
- Robot joint control and motion planning
- Physics education: circular motion, centripetal acceleration