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Angular Velocity and Linear Speed

Angular speed w: rad/with
Radius R:
calculation of linear speed
Linear speed V:
Radius R:
calculation of angular speed
Linear speed V:
Angular speed w: rad/with
calculation of radius through linear and angular speed


This online angular velocity calculator is designed to compute the angular velocity and linear speed of rotating objects. It provides convenient tools for converting angular velocity to linear speed, as well as determining the shaft radius, number of revolutions, and centripetal acceleration.

Functionality:

  • Calculation of angular velocity (in radians per second) based on the specified number of revolutions.
  • Conversion of angular velocity to linear speed (in meters per second and kilometers per hour), taking into account the rotation radius.
  • Calculation of the shaft radius based on the given speed parameters and number of revolutions.
  • Determination of centripetal acceleration for rotating objects.

How to use the calculator:

  1. Select from the dropdown menu the value you need to calculate: angular velocity, linear speed, or shaft radius.
  2. Enter the input data into the corresponding fields, based on the provided diagram.
  3. Click the "Calculate" button to obtain the results.

After performing the calculations, you will receive the following data:

  • Linear speed (in m/s and km/h).
  • Angular velocity (in rad/s).
  • Shaft radius (in mm, cm, and m).
  • Number of shaft revolutions per second and per minute.
  • Time for one revolution (in seconds and minutes).
  • Centripetal acceleration (in m/s²).

Useful information:

  • 1 radian = 57.2958 degrees.
  • The number Pi (π ≈ 3.14) corresponds to 180 degrees, which is half of a circle.
  • 2π radians (≈ 6.28) correspond to 360 degrees, which represents a full circle.