Define angular velocity; Derive v=r w.
Answers
Hii its tom85
Angular velocity :-
The rate of change of angular position is called angular velocity .
- angular velocity is denoted by omega .
- si unit is rad/s.
Derivation of v=r*omega
let O be the center of a circle as well as origin of an axis .if the partical p describe by an angle theta.suppose it change its position to p' by an angle called theta das .The change in angle describe as delta theta .There must be in time difference that is delta t .
we know that
theta =L/r
where L is the distance travelled in circumstance of circle it must changes the change is denoted by delta S.
delta S=r*delta theta
so
delta s/delta t=r*delta theta /delta t
since delta s/delta t= v and delta theta/delta t=w
v=r*omega
_________/\________☺️
hope it helps you dude
❤. The rate of change of angular displacement is called angular velocity