Torque to Accelerate Calculator
Motor torque to spin a load up to speed in a target time.
Inertia, not steady load, sizes servo and VFD drives on fast cycles. Gearing helps twice: reflected inertia falls with the ratio SQUARED. Check the motor's thermal duty for repeated starts.
Formula
Torque to Accelerate Calculator is a free acceleration torque for mechanical and machine-design engineers — instant, accurate and 100% client-side, with the governing formula and reference shown next to the result so the number can be defended, not just quoted.
About Torque to Accelerate Calculator
Motor torque to spin a load up to speed in a target time. The calculation implements T = I·α + T_load; α = Δω/t (Drive sizing — rotordynamics). Inertia, not steady load, sizes servo and VFD drives on fast cycles. Gearing helps twice: reflected inertia falls with the ratio SQUARED. Check the motor's thermal duty for repeated starts.
How to use Torque to Accelerate Calculator
- 1Enter Load inertia in kg·m².
- 2Enter Target speed in rpm.
- 3Enter Spin-up time in s.
- 4Enter Running (friction/load) torque in N·m.
- 5Read Acceleration torque, Total motor torque needed instantly — no submit button needed.
- 6Need US units? Flip the SI/Imperial toggle and every field converts.
Why use Torque to Accelerate Calculator?
- ✓Implements the standard formula — T = I·α + T_load; α = Δω/t
- ✓Reference cited on-page: Drive sizing — rotordynamics
- ✓One-click SI ⇄ Imperial toggle — values convert in place, physics stays in SI
- ✓Live worked example: the substitution recomputes from your numbers
- ✓Runs entirely in your browser — nothing uploaded, free forever
Frequently asked questions
What formula does the Torque to Accelerate Calculator use?+
It computes T = I·α + T_load; α = Δω/t, per Drive sizing — rotordynamics. The formula is displayed under the result along with a worked example substituted with your own inputs.
What should I keep in mind when using this calculator?+
Inertia, not steady load, sizes servo and VFD drives on fast cycles. Gearing helps twice: reflected inertia falls with the ratio SQUARED. Check the motor's thermal duty for repeated starts.
Is this suitable for machine design coursework?+
Yes — these are the exact Shigley/Machinery's-Handbook formulas, with the substitution shown step by step, so you can follow the worked example into your own calculation sheet.
Is the Torque to Accelerate Calculator free to use?+
Yes — completely free, no sign-up, no limits. It runs client-side in your browser, so inputs stay private and results are instant even on slow connections.
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