Question

- Differentiate between uniform linear and uniform circular motion​

Answer 1

Answer:

v=R. (omega)   (where R is the radius of the circle, v is the linear velocity and omega is the angular velocity)

Explanation:

we know that ,

v=ds/dt .........1

and Omega=dθ/dt   ....................2

now ,

the relation between θ and s is

θ=S/R  (where R is the radius of the circle and S is the linear displacement i.e. arc of the circle)

and  S=Rθ ...........3

putting (3) in (1)

v=d(Rθ)/dt

v=R . dθ/dt   ( since radius will remain same)

v=R. Omega ( by 2)

hence proved