Question

in the figure, point p moves at a constant rate along the unit circle. complete the sentence below. if the angular speed of point p is 1 radian per second, then p will move around the entire circle in ______ sec. if the angular speed of point p is 1 radian per second, then p will move around the entire circle in sec. (simplify your answer. type an exact answer, using π as needed. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall the angle of a full - circle

The angle around a full - circle in radians is $2\pi$ radians.

Step2: Use the formula for time

The formula for time $t$ given angular speed $\omega$ and angular displacement $\theta$ is $t=\frac{\theta}{\omega}$. Here, $\theta = 2\pi$ radians and $\omega=1$ radian per second.
$t=\frac{2\pi}{1}$

Answer:

$2\pi$