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THE FEUTEX TOOLKIT

Solid Rotor Acceleration Budget

Estimate inertia, acceleration torque and stored kinetic energy for a solid disk.

Mechanical workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaI=mr²/2; torque=IΔω/Δt+Tloss; E=Iω²/2.
Sources and model references

Worked example

Inputs

Disk mass
10 kg
Disk radius
0.2 m
Target rotational speed
1000 rpm
Constant acceleration duration
5 s
Constant opposing torque
1 N·m

Expected results

Polar mass moment
0.2 kg·m²
Required ideal motor torque
5.188790205 N·m
Final rotational kinetic energy
1096.622711 J

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter every input in the labeled units; use measured or independently specified properties.
  2. Check the stated model assumptions before calculating.
  3. Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "mass": 10,
  "radius": 0.2,
  "rpm": 1000,
  "time": 5,
  "loss": 1
}

Accuracy and scope

Rigid solid disk starting at rest, constant acceleration and opposing torque; excludes rotor stress and drive torque-speed limits. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.