A solid disk with a radius of 5m and mass of 4kg is rotating on a frictionless surface. If 15W of power is used to increase the disk's rate of rotation, what torque is applied when the disk is rotating at 4Hz?

1 Answer
Feb 9, 2017

τ=158π0.60Nm

Explanation:

We are told we have a rotating spinning coin.

http://www.mariowiki.com/coinhttp://www.mariowiki.com/coin

Step 1. Gather the information that you know and need

  • Mass of disk: mass=m=4 kg
  • Radius of disk: radius=r=5 m
  • Power applied to increase rotation: P=15 W
  • Frequency: f=4 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=42π=8π

Step 3. Plug your answer into the formula for torque

τ=158π0.60Nm