Rotational Motion – v, ω, f, rpm, Centripetal Acceleration Calculator
Given radius and one known quantity (v, ω, frequency, or rpm), calculates all fundamental rotational motion quantities and centripetal acceleration.
Info
This tool converts between fundamental quantities of a uniformly rotating object. Relations used: - Linear velocity: v = ω·r - Angular velocity: ω = 2π·f - Frequency: f = 1 / T - Revolutions per minute: rpm = 60·f - Centripetal acceleration: a_c = v² / r = ω²·r Given radius and one known quantity, it calculates: - v, ω, f, T, rpm and centripetal acceleration, - t, θ, and (x, y) values for one full revolution in a table (when r > 0).
- Rotating wheels, gears, and motor shafts all follow the rotational motion model.
- Centripetal acceleration is critical for satellites and electrons moving in circular orbits.
- Centripetal acceleration always points toward the center; linear velocity v is always tangent to the circle.
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