A motor operates a winding drum used to raise theatre scenery. The motor gear has a radius of 0.10 m and meshes directly with a gear of radius 0.30 m attached to the drum. The teeth of the two gears push on each other with forces of equal size. The moment on the gear attached to the drum is 6.0 N m. What is the moment provided by the motor gear?
2.0 N m2.0\ \mathrm{N\,m}2.0 Nm
18 N m18\ \mathrm{N\,m}18 Nm
6.0 N m6.0\ \mathrm{N\,m}6.0 Nm
0.60 N m0.60\ \mathrm{N\,m}0.60 Nm