A wheel of radius 6 inches is rotating at 0.5 space radians per second. What is the linear speed v in inches per second (in/s)?

Answer 1

You can look at problem this way,

the wheel travels its circumference in one rotation, length=2π*6 in.

equation for time for one rotation (one rotation is 2π radian) is .5*t=2π

(.5 is in units radians/s), time for one rotation is t=4π seconds

constant speed=length/time=[2π*6]/4π=3 inch/s

Answer 2

A point on the wheel is moving at 3 in/sec (0.5 of a radian)