How is acceleration time calculated?

t = J * delta_omega / T. J in kg*m^2, omega in rad/s, T in Nm.

Net torque = motor torque minus load torque. Include friction.

Works for deceleration?

Yes, same formula with braking torque.

Integrate numerically or use time-averaged torque.

J_total = J_motor + J_load * (N_motor/N_load)^2.

Free Engineering Tool #078

Calculate time to accelerate or decelerate a rotor. Enter inertia J, initial/final speed, and available torque.

AccelerationDecelerationAuto-Calc

Time

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Angular Acceleration

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Speed Change

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Energy Change

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Average Power

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Use net torque = motor minus load. Account for friction and windage losses.