Calculate angular acceleration from a change in rotational speed, and the torque it needs.
Angular acceleration is the rotational analogue of linear acceleration, and torque plays the role of force. Peak power is highest at the end of the spin-up, because power is torque times the instantaneous speed. Motor selection is usually governed by the peak power at the end of acceleration rather than by the torque alone.
Angular Acceleration
α = (ω₁ − ω₀) ÷ t; torque τ = I α
α = (ω₁ − ω₀) ÷ t; torque τ = I α Angular acceleration is the rotational analogue of linear acceleration, and torque plays the role of force. Peak power is highest at the end of the spin-up, because power is torque times the instantaneous speed.
Motor selection is usually governed by the peak power at the end of acceleration rather than by the torque alone.
This calculator takes 4 inputs: Initial rotational speed, Final rotational speed, Time taken, Moment of inertia. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.