Linear velocity is a physical quantity that indicates the speed of an object in circular motion, i.e., the length of the path traveled by the body per unit of time.
The linear velocity of a body moving along a trajectory of uniform circular motion:
$$v = \omega R$$
where,
v — linear velocity (m/s);
\(\omega\)— angular velocity (rad/s);
R— radius of the circle (m).
The linear velocity through the length of the path (trajectory) traveled per unit of time:
$$v = \frac{d}{t}$$
where,
v — linear velocity (m/s);
d — arc length, distance traveled (m);
t — time (s).
Linear Velocity FAQ
What is linear velocity?
Linear velocity is the speed of an object along a path, measured as distance traveled per unit time.
How do you calculate linear velocity in circular motion?
Linear velocity is found with v = omega x R, where omega is angular velocity and R is the radius.
