A ceiling fan is turned on and a net torque if 4 N.m is applied to the blade. The blades have a total moment o

Question

A ceiling fan is turned on and a net torque if 4 N.m is applied to the blade. The blades have a total moment of inertia of 0.2 kg.m^2. What is the angular acceleration of the blades?

Answer 1

∑M = I * α

where,

∑M is the net torque/moment exerted on the blade

I is the moment of inertia of the blade

α is the angular acceleration of the blade

=> α = ∑M / I = (4 Nm) / (0.2 kg*m²) = 20 radians/s²

Therefore, the angular acceleration of the blade is: 20 rad/s²