Linear Velocity

What is Linear Velocity?

Velocity is the rate of change in the position of an object in a specific range of time. In other words, it is the rate of distance with respect to time. Let’s discuss about linear velocity.

Linear Velocity

Linear and angular velocities are related to the speed of an object based on the perspective chosen. Linear velocity is applied to an object that moves, whereas angular velocity applies to those that turn such as a wheel, the earth’s revolution or a spinning top.

Anything that moves or turns in the circular direction has both linear velocity and angular velocity. The angular velocity is the ratio of the angle traversed to the amount of time it takes to traverse that angle.

Angular velocity gives an expression of angular displacement over time and can be expressed in radians or degrees. Angular velocity is determined with the equation. To calculate the linear velocity from angular velocity, you can apply the formula, where ω is expressed in radians/time, and r indicates the radius of the path taken.

Constant Linear Velocity:

When a body moves with constant speed without changing its direction, it is said to be moving with the constant linear velocity. Linear velocity indicates the direction is not changed, and constant shows that the magnitude is not changed.

Linear Velocity Formula:

The linear velocity depends on the distance traveled by an object with respect to time taken. The linear equation or the linear velocity formula is given by,

v = x/t


v = Linear velocity

x = distance covered

t = Time taken to cover the distance(x).

Stay tuned with Byju’s to know more about Velocity and any other Physics related concepts with interesting video lectures.

Practise This Question

A disc rotates about its axis with a constant angular acceleration of 4 rads2. Find the radial and tangential accelerations of a particle at a distance of 1 cm from the axis at the end of the first second after the disc starts rotating.