Question

g A ceiling fan is rotating counterclockwise with a constant angular acceleration of 0.35π rad/s2 about a fixed axis perpendicular to its plane and through its center. Assume the fan starts from rest. (a) What is the angular velocity of the fan after 2.0 s? (Enter the magnitude.) rad/s (b) What is the angular displacement of the fan after 2.0 s? (Enter the magnitude.) rad

Answer 1

Answer:

The correct answer will be:

(a) 2.2 rad/s

(b) 2.2 rad

Explanation:

The given values are:

Angular acceleration, $\alpha = 0.35 \pi \ rad/s^2$

(a)...

At time t = 2.0 s,

The angular velocity will be:

⇒  $\omega = \alpha t$

On putting the estimated values, we get

⇒     $=0.35\pi \times 2.0$

∴ [$\pi = 3.14$]

⇒     $=0.35\times 3.14\times 2.0$

⇒     $=2.2 \ rad/s$

(b)...

The angular displacement will be:

⇒  $\theta = \frac{1}{2}\alpha t^2$

On putting the estimated values, we get

⇒     $=\frac{1}{2}\times 0.35\pi\times (2.0)^2$

⇒     $=\frac{1}{2}\times 0.35\times 3.14\times 4$

⇒     $=1.099\times 2$

⇒     $=2.2 \ rad$