Question

current attempt in progress
a ceiling fan is turned on and a net torque of 1.8 n·m applied to the blades. the blades have a total moment of inertia of 0.18 kg·m².
what is the angular acceleration of the blades?
number units

Explanation:

Step1: Recall the formula for torque

Torque $\tau = I\alpha$, where $\tau$ is the torque, $I$ is the moment of inertia, and $\alpha$ is the angular acceleration.

Step2: Solve for angular acceleration

We can rearrange the formula to $\alpha=\frac{\tau}{I}$.
Substitute $\tau = 1.8\ N\cdot m$ and $I = 0.18\ kg\cdot m^{2}$ into the formula:
$\alpha=\frac{1.8}{0.18}$

Answer:

Number: $10$
Units: $rad/s^{2}$