Question

in the figure, point p moves at a constant rate along the unit circle. complete the sentence below.
an angular speed of 1 revolution per min on the unit circle is equivalent to an angular speed, ω, of ____ radians per min.
an angular speed of 1 revolution per min on the unit circle is equivalent to an angular speed, ω, of radians per min. (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 radian - revolution relationship

One full - revolution around a circle is equal to $2\pi$ radians.

Step2: Determine the angular speed in radians

If the point makes 1 revolution per minute, and 1 revolution = $2\pi$ radians, then the angular speed $\omega$ in radians per minute is $2\pi$.

Answer:

$2\pi$