Spinning or orbiting objects have rotation energy {rotational kinetic energy}. Because tangential velocity v equals angular velocity w times radius r, rotational kinetic energy KE equals half moment of inertia I times angular velocity w squared: KE = 0.5 * m * v^2 = 0.5 * m * (w*r)^2 = 0.5 * m * r^2 * w^2 = 0.5 * (m * r^2) * w^2 = 0.5 * I * w^2, where moment of inertia I = m * r^2.
work
Energy can be force over distance around axis {rotational work}. Rotational work W equals torque T times angle A in radians: W = F*s = (T/r) * (r*A) = T*A.
power
Energy can be force over time around axis {rotational power}. Rotational power P equals torque T times angular velocity w: P = E/t = (F*s) / t = ((T/r) * (r*A)) / t = T * (A/t)= T*w.
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Date Modified: 2022.0224