What is the proportionality constant between linear velocity and angular velocity? Group of answer choicesthetaromegaw

Proportionality Constant between Linear Velocity and Angular Velocity

The relationship between linear velocity $v$ and angular velocity $\omega$ is given by the formula:

$v = r \cdot \omega$

where:

• $v$ = linear velocity,
• $r$ = radius (the distance from the axis of rotation to the point of interest),
• $\omega$ = angular velocity.

Proportionality Constant

From the equation $v = r \cdot \omega$, we can see that the proportionality constant between linear velocity $v$ and angular velocity $\omega$ is the radius $r$. This means that if you know the radius, you can find the linear velocity for a given angular velocity and vice versa.

Thus, the correct answer for the proportionality constant is: r.