Tangential and Radial Acceleration Calculator

Calculate Tangential and Radial Acceleration

Results:

Tangential Acceleration (at): m/s²

Radial (Centripetal) Acceleration (ar): m/s²

Total Acceleration (a): m/s²

Utilize our free Tangential and Radial Acceleration Calculator to quickly determine the acceleration components in circular motion. This essential physics tool helps students and engineers find tangential acceleration, radial acceleration (centripetal acceleration), and the total acceleration of an object given its radius, angular velocity, and angular acceleration. Understand complex rotational dynamics with ease.

Formula:

The formulas used by this calculator are:

  • Tangential Acceleration (at): at = r × α
  • Radial (Centripetal) Acceleration (ar): ar = ω2 × r
  • Total Acceleration (a): a = √((at)2 + (ar)2)
Where:
  • r = Radius of the circular path (in meters)
  • ω = Angular velocity (in radians per second)
  • α = Angular acceleration (in radians per second squared)

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