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This video shows the important relationship between the linear speed v=s/t and the linear speed v=rw.
Remember that the linear speed v=s/t has the dimension length per unit of time, such as feet per second or miles per hour.
r, the radius of the circular motion has the same length dimension as s, and w, the angular speed has the dimensions of radians per unit of time, such as radians per second, radians per minute or radians per hour.

If the angular speed is given in terms of revolutions per unit of time, as is often the case, be sure to convert it to radians per unit of time using the fact that 1 revolution = 2pi radians before using the formula v=rw.



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