Answer :
Considering that the merry-go-round is rotating at a constant angular velocity, the net torque acting on it is zero since constant angular velocity implies no angular acceleration.
A 195-kg merry-go-round rotating with a constant angular velocity of 3.5 rad/s. Given that the angular velocity is constant, it indicates that there is no net torque acting on the merry-go-round because if there were a net torque, the angular velocity would change due to angular acceleration. In the case of a rotating body with constant angular velocity, we can say that the forces and torques acting on it are balanced, resulting in an equilibrium state.
Thus, for the merry-go-round described in the question, the magnitude of the net torque acting on it is zero Newton-meters (N·m).