Angular acceleration follows net torque, not angular velocity

  1. 01

    The tempting model

    Assuming a spinning object must have a net torque because ω is nonzero.

  2. 02

    Why it feels right

    Motion feels like it requires a continuing cause.

  3. 03

    Where it breaks · how to catch it

    You infer torque from rotation speed instead of from changing rotation speed.

  4. 04

    The correct model

    Net torque equals Iα. Constant angular velocity means α = 0 and net torque = 0, even though ω is nonzero.

  5. 05

    Repair · see it, then test it

    worked example A wheel spins at constant angular speed with negligible friction. What is net torque?

    Tempting move

    Nonzero, to keep it spinning.

    Correct move

    Zero; torque would change ω.

    Test the repair ROT-08 · transfer
    A disk spins counterclockwise while a braking torque acts clockwise. The angular acceleration is:

    Make a fresh prediction before referring to the worked example.