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Gyroscope Precession

About this simulation

Gyroscope Precession simulates a symmetric heavy top using the exact Euler-angle equations on a fixed pivot. Students set the spin rate, the starting tilt and a nutation value, and can trace the tip of the axis. Readouts show average precession, the slow-precession formula, the minimum and maximum tilt and the spin. It shows why a spinning object turns sideways under gravity's torque, and how faster spin means slower precession. Best suited to older students studying angular momentum and torque.

What students can explore

  • Turn Trace axis tip on and watch the path the axis draws.
  • Raise Spin rate and compare Precession (average) with the formula readout.
  • Set Nutation to 1 and then 0 and compare the bobbing of the axis.
  • Change Start tilt and read the Tilt min and max range.
  • Check that doubling the spin roughly halves the precession rate.

Learning objectives

  1. 1Describe precession as the axis turning in response to torque.
  2. 2Relate precession rate to spin rate qualitatively.
  3. 3Distinguish precession from nutation.
  4. 4Connect angular momentum to why a spinning top stays upright.

Questions teachers ask

Is the Gyroscope Precession simulation free?

Yes. It is free, needs no sign-up and runs in any modern browser, including classroom whiteboards and tablets.

Why does the top not fall over?

Gravity applies a torque, but because the top has angular momentum from spinning, the torque turns the spin axis sideways instead of tipping it down. The axis circles the vertical.

How do I use it?

Set the spin rate, tilt and nutation. Changing a slider restarts the top. Turn on the axis trace and compare the Precession average with the Slow-precession formula readout.

What is nutation?

Nutation is the small up and down bobbing of the axis while it precesses. It appears when the top is released from rest and fades to a steady circle when Nutation is set to 0.

Embed this simulation

Drop it into your LMS, blog, or class site — free.

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