Spinning Tops & Gyroscopes
Natural Sciences · Advanced · Lesson 7 of 7

How Fast Can a Planet Spin?

The spin barrier

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • A spinning body flies apart at the equator if ω2R>GM/R2\omega^2R > GM/R^2.
  • Minimum period Tmin⁡=3π/(Gρ)T_{\min} = \sqrt{3\pi/(G\rho)}, set by density alone.
  • Rubble-pile asteroids hit a 2.2-hour spin barrier; pulsars must be neutron stars.

Steps

  1. Gravity versus spin
  2. Earth today
  3. Spin up the Earth
  4. The bulge
  5. The asteroid spin barrier
  6. Millisecond pulsars