Question

What is the relationship between linear speed and angular velocity.

Answer 1

Linear velocity v is equal to the angular speed ω times the radius from the center of motion R. We can derive this relationship from the arclength equation. S=θR, where θ is measured in radians.

Answer 2

$\huge\mathcal{ANSWER}}$

Angular speed gives the rate at which the central angle swept out by the object changes as the object moves around the circle, and it is thus measured in radians per unit time. Linear speed is measured in distance units per unit time (e.g. feet per second).