Uniform circular motion | V=Rω | a = v2/r | a=ω2R | Angular frequency and angular velocity | class11

In this video, we will define what is an uniform acceleration motion. linear velocity magnitude is constant but its direction changes continuously which means its accelerated motion. magnitude of acceleration is constant but its direction changes, its aways act radially inward and we define it as centripetal acceleration. we calculated its value from the symmetry of the uniform circular motion it come out to be a = v2/r=ω2R. Thereafter we will define angular velocity and angular frequency, both of these quantities look similar but they are not. angular velocity is defines for an instant but angular frequency is defined for a revolution or a complete cycle for that we define time period and frequency. angular frequency is fixed but angular velocity can change for any general motion. for uniform circular motion angular velocity and angular frequency moth are equal. we can also derive a relation relation between linear velocity and angular velocity as V=Rω. we will see in chapter 7 rotational dynamics that angular velocity is a vector quantity while angular frequency is a scalar quantity.