Three Solid, Uniform, Cylindrical Flywheels, Each of Mass 65 $1020 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 } / \mathrm { s }$

Multiple Choice

Three solid, uniform, cylindrical flywheels, each of mass 65.0 kg and radius 1.47 m, rotate independently around a common axis through their centers. Two of the flywheels rotate in one direction at 8.94 rad/s, but the other one rotates in the opposite direction at 3.42 rad/s. Calculate the magnitude of the net angular momentum of the system.

A) $1020 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 } / \mathrm { s }$
B) $975 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 } / \mathrm { s }$
C) $940 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 } / \mathrm { s }$
D) $1500 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 } / \mathrm { s }$