A solid disk with a radius of 8 m and mass of 8 kg is rotating on a frictionless surface. If 360 W of power is used to increase the disk's rate of rotation, what torque is applied when the disk is rotating at 6 Hz?

1 Answer
Feb 9, 2017

tau=(360)/(12pi)~~9.55N*m

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=8" m"
  • Power applied to increase rotation: P=360" W"
  • Frequency: f=6" Hz"
  • Torque required: ??

Step 2. Determine the formula using the above givens

  • P is the power applied, P=tau omega
  • Therefore, the formula for torque is tau=P"/"omega
  • Angular speed, omega=f*2pi=6*2pi=12pi

Step 3. Plug your answer into the formula for torque

tau=(360)/(12pi)~~9.55N*m