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Tangential Velocity Formula

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Tangential velocity is the component of motion along the circumference of a circle measured at any point in time. Tangential velocity, as the name implies, describes the motion of an object along the circle’s edge whose direction at any given point on the circle is always along the tangent to that point.

tangential velocity formula, definition and tangential velocity diagram, tangential velocity in simple words.

In other words, Tangential velocity is the linear component of any object’s speed when it moves in a circular path. When an object moves in a circular path at r from the centre, the body’s velocity is always directed tangentially. This velocity is called tangential velocity.

Tangential velocity formula

tangential velocity formula with simple explanation.
  • v_{t} is tangential velocity
  • \omega is angular velocity
  • r is the radius
  • spinning an object on a string very fast and then letting it go. The object won’t continue on in a circular path.

Difference between tangential velocity and angular velocity

Angular velocityTangential velocity
Definition rate of change of the position angle of an object with respect to timea force that acts on a moving body in the direction of a tangent to the curved path of the body
Unitradians per secondmeter per second (m/s)
Formulaω=Δ𝚹/Δ𝐭
ω = angular velocity 
Δ𝚹 = angular displacement
Δ𝐭 = change in time
vt = ωr
vt = tangential velocity
ω = angular velocity
r = radius
In terms of accelerationAngular Acceleration is defined as the time rate of change of angular velocity. It is usually expressed in radians per second per second.Tangential acceleration is the rate of change of tangential velocity of the matter in the circular path.
Factors affectingAngular velocity is the same for all points on Earth tangential velocity increases as the radius of an object increases because tangential velocity is directly proportional to the radius.
Angular velocity is the same for all points on Earth

More Links

Velocity Formula & DefinitionCan Velocity be Negative?| Examples
How to Find Instantaneous VelocityVelocity vs. Time Graphs
Critical Velocity| FluidsKinetic Energy Formula-0.5mv^2
Linear Acceleration| Formula, and DefinitionLinear Motion or Rectilinear Motion
Umair Javaid, PhD Student
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