In circular motion speed=angle/time.But why is angle taken instead of distance?Distance can be taken as the measure of sector.

Asked by Benjamin | 19th Sep, 2015, 06:03: PM

Expert Answer:

Angular speed is the rate at which an object changes its angle in a given period of time. It is generally measured in radians per unit time (e.g. seconds) or sometimes in revolutions per minute (rpm). 
Angular speed is basically the measure of how fast an object moves around a circular path independent of how large the circle is (i.e. independent of radius). 
Hence, it is given as: 
ω = θ /t
ω = angular speed in radians/sec
θ = angle in radians (2π radians = 360 degrees)
t = time in sec

Whereas, speed is calculated as,
Speed = Distance / Time
It is the measure of how fast an object goes from one reference point to another point i.e., it varies from one object to another. 

Answered by Faiza Lambe | 21st Sep, 2015, 01:36: PM