A solid disk with a radius of #6 m# and mass of #5 kg# is rotating on a frictionless surface. If #240 W# of power is used to increase the disk's rate of rotation, what torque is applied when the disk is rotating at #8 Hz#?

1 Answer
Aug 31, 2017

Answer:

The torque is #=1.19Nm#

Explanation:

The mass of the disc is #m=5kg#

The radius of the disc is #r=6m#

The power #=P# and the torque #=tau# are related by the following equation

#P=tau omega#

where #omega=# the angular velocity

Here,

The power is #P=240W#

The frequency is #f=8Hz#

The angular velocity is #omega=2pif=2*pi*8=16pirads^-1#

Therefore,

the torque is #tau=P/omega=60/(16pi)=1.19Nm#