A solid disk with a radius of 2m and mass of 4kg is rotating on a frictionless surface. If 480W of power is used to increase the disk's rate of rotation, what torque is applied when the disk is rotating at 9Hz?

1 Answer
Feb 9, 2017

τ=480W18π8.49Nm

Explanation:

We are told we have a rotating spinning coin.

![http://www.mariowiki.com/coin](useruploads.socratic.org)

Step 1. Gather the information that you know and need

  • Mass of disk: mass=m=4 kg
  • Radius of disk: radius=r=2 m
  • Power applied to increase rotation: P=480 W
  • Frequency: f=9 Hz
  • Torque required: ??

Step 2. Determine the formula using the above givens

  • P is the power applied, P=τω
  • Therefore, torque is τ=P/ω
  • Angular speed, ω=f2π=92π=18π

Step 3. Plug your knows into the formula for torque

τ=480W18π8.49Nm