What is the Formula for Converting Rotational Speed to Linear Speed?

[celect]

I can define both terms Linear Speed, Rotational speed,

but I need to find the formula difference so I can show how

rotational speed is changed to linear Speed.

I can not find the formula for either.

 

[Doc Al]

I assume you are talking about how to find the tangential speed (V) of something that is rotating about a point at some angular speed (ω, measured in radians/sec). The relationship is V=ωr, where r is the distance to the axis of rotation.

 

[HallsofIvy]

If the angular speed is ω, measured in radians per second, that means that in 1 second, the "wheel" will turn through ω radians. On a "wheel" of radius r, one radian angle cuts an arc of length r*1= r on the circumference of the wheel (remember that the full circle is 2π radians and the entire circumference is 2πr).
That is, in one second there is a revolution of ω radians which carries a point on the circumference a distance rω.
Angular speed ω corresponds to a linear speed of v= rω, just as Doc Al said.

 

[celect]

Thanks to all.
I now understand
v=w*r
v= linear speed
w= Rotational Speed
r=radius