Question

A tool whose coefficient of kinetic friction with the wheel is 0.60 is pressed perpendicularly against the wheel with a force of 40.0 N. What torque must be supplied by the motor to keep the wheel rotating at a constant angular velocity?

Answer 1

The torque must be supplied by the motor to keep the wheel rotating at a constant angular velocity is 12 N-m.

Step-by-step explanation:

Given that,

The coefficient of kinetic friction with the wheel is 0.60

Force acting against the wheel, F = 40 N

Let the distance is, r = 0.5 m

Torque is given by the product of force and distance. Here, the force will be :

`F=\mu F\\\\F=0.6* 40\\\\F=24\ N`

Torque is given by :

`\tau=F* r\\\\\tau=24* 0.5\\\\\tau=12\ N-m`

So, the torque must be supplied by the motor to keep the wheel rotating at a constant angular velocity is 12 N-m.