Question

A rotating stone has an angular velocity of 11 rad/s. In 0.5 seconds, how much angular displacement is overall?

• A. 0.5 rad
• B. 5.5 rad
• C. 0.55 rad

Answer 1

Answer: (B)

5.5 rad

Answer 2

The problem asks for the angular displacement of a rotating stone given its angular velocity and the time duration. Assuming the angular velocity is constant, the angular displacement ($\Delta\theta$) can be calculated using the formula:

$\Delta\theta = \omega \times t$

where $\omega$ is the angular velocity and $t$ is the time.

Given values: Angular velocity ($\omega$) = 11 rad/s Time ($t$) = 0.5 s

Substitute these values into the formula:

$\Delta\theta = (11 \text{ rad/s}) \times (0.5 \text{ s})$ $\Delta\theta = 5.5 \text{ rad}$

Thus, the overall angular displacement is 5.5 radians.