1 radian per second equals 0.159155 hertz. Conversion formula: hertz = rad/s × 0.159155. Alternative formula: ƒ = ω / 2π
1 radian per second equals 9.549297 revolutions per minute. Conversion formula: RPM = rad/s × 9.549297. Alternative formula: RPM = 60 × rad/s / 2π
Three perpendicular vectors: w=rxv, v=wxr, r=vxw. System of equations holds only when w=v=r
Rigid body is a solid with zero or negligible deformation. Distance between points remains constant regardless of external forces. Perfectly rigid body doesn't exist in special relativity. In quantum mechanics, rigid body is collection of point masses
Rotation around fixed axis is a special case of rotational motion. Simultaneous rotation along multiple stationary axes is impossible. Rotation around fixed axis is mathematically simpler than free rotation
Acceleration measures rate of change in speed with direction and time. Circular motion involves angular velocity and centripetal acceleration. Angular displacement is θ = s/r