Question

How is the linear speed of a particle moving along a circular path related to its angular velocity?​

Answer 1

your answer

let v be the linear velocity.

let w be the angular velocity.

there is the relation between the linear displacement and angular displacement

let angular displacement be x.

angle which is moved by particle will be theta.

radius r.

theta=x/r

x=r theta............equation 1

in this equation 1 we can divide both the sides by time(t).

therefore,

x/t=v. theta/t=w

so,

v=rw

hence the relation between the angular and linear velocity will be

v= r×w

hope this helps