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

Answer:

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

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 :

$F=\mu F\\\\F=0.6\times 40\\\\F=24\ N$

Torque is given by :

$\tau=F\times r\\\\\tau=24\times 0.5\\\\\tau=12\ N-m$

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