Angular Speed to Linear Speed

The Linear Speed from Angular Speed calculator computes the linear speed based on the angular speed (ω) and radius (r) from the rotation point.

INSTRUCTIONS: Choose units and enter the following:

• (r) Radius
• (ω) Angular speed

Linear Speed (S): The calculator returns the speed in meters per second.  However this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The Speed of the Hour Hand clock is either:

• angular speed (ω) is 2π radians per hour or
• linear speed (v) from angular speed is dependent on the length of the hour hand (r) and angular speed (ω)

Reference

University Physics 12th Edition, Chapter 9, Equation #9.13