A solid disk with a radius of 6m and mass of 8kg is rotating on a frictionless surface. If 3W of power is used to increase the disk's rate of rotation, what torque is applied when the disk is rotating at 5Hz?

1 Answer
Feb 9, 2017

τ=3 W10π9.55Nm

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=8 kg
  • Radius of disk: radius=r=6 m
  • Power applied to increase rotation: P=3 W
  • Frequency: f=5 Hz
  • Torque required: ??

Step 2. Determine the formula using the above givens

  • P is the power applied, P=τω
  • Therefore, the formula for torque is τ=P/ω
  • Angular speed, ω=f2π=52π=10π

Step 3. Plug your answer into the formula for torque

τ=3 W10π9.55Nm