I need help with this problem.
A ceiling fan is turned on and a net torque of 2.0 Nm is applied to the blades. The blades have a total moment of inertia of 0.24 kgm2. What is the angular acceleration of the blades in rad/s2?
The formula is well known:
Torque= momentof inertia* angular acceleration.
To find the angular acceleration of the blades, we need to rearrange the formula Torque = moment of inertia * angular acceleration to solve for angular acceleration.
The formula for angular acceleration is:
angular acceleration = Torque / moment of inertia.
In this problem, we are given the following information:
Torque = 2.0 Nm (net torque applied to the blades)
Moment of inertia = 0.24 kgm^2 (total moment of inertia of the blades)
Substituting the given values into the formula, we can calculate the angular acceleration:
Angular acceleration = 2.0 Nm / 0.24 kgm^2.
Now, let's calculate the angular acceleration:
Angular acceleration = 2.0 / 0.24 = 8.33 rad/s^2.
Therefore, the angular acceleration of the blades is 8.33 rad/s^2.