Gyroscopic Precession Calculator
Calculate the ideal slow-precession rate from perpendicular torque and an entered spinning-body inertia.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Use angular momentum magnitude Iω and the slow steady precession relation with perpendicular torque.
Precession angular speed=perpendicular torque/(inertia×spin angular speed)
Worked example
Doubling spin speed halves the modeled precession rate for fixed torque and inertia.
Assumptions and input details
Ideal rigid-body slow-precession approximation, no nutation, changing spin, bearing constraints, inertia-axis tilt or machine/vehicle stabilization assessment. Requires nonzero spin; direction follows vector torque and is not inferred from magnitudes.
Unit definitions
Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.
One revolution is 2π radians or 360 degrees. One minute is 60 seconds, so 1 rpm = 2π/60 rad/s. Rotational frequency in hertz counts revolutions per second.
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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