A solid disk with a radius of #3 m# and mass of #7 kg# is rotating on a frictionless surface. If #480 W# of power is used to increase the disk's rate of rotation, what torque is applied when the disk is rotating at #5 Hz#?

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Answer 1 · 2017-06-02T05:52:03

The torque is #=15.28Nm#

Mass of disc #=7kg#

Radius of disc #=3m#

The power is related to the torque by the equation

#P=tau *omega#

#P=480W#

Frequency of rotation is #f=5Hz#

#omega=f*2pi#

angular velocity, #omega=5*2pi rads^-1#

torque, #tau=P/omega#

#=480/(10pi)=15.28Nm#