Linear speed is defined as rate of change of distance or distance covered in unit time. If, dx is change in distance and dt is the change in speed, then linear speed is given by:
SI unit of linear speed is m/s. The relation between linear speed(x) and angular speed(ω) in case of circular motion is given by: Speed(s) = rω Where, r = radius of the circular path
Example: Calculate the linear speed of a body moving at 30 rpm in a circular path having a radius of 7 m? Answer: Given – Angular velocity (ω)= 30 rpm = 𝞹 rad/s =5.237rad/s Radius r = 2 m The linear speed is given by
Question: If an object covers a distance of 4m in 2s along a circular path of radius 2m, find the angular velocity of the object.