Question

state the relation between angular velocity and linear speed​

Answer 1

Answer:This is its angular displacement. Linear velocity is linear displacement divided by time; angular velocity is angular displacement divided by time. Therefore, linear velocity is the measure of how fast something is changing in a straight line; angular velocity is the measure of how fast something is rotating.

Explanation:Let θ be the angular displacement of the body.

Let "t" be the time taken.

Then,

ω=θ/t

For a very small value of "t"

ω=∆θ/∆t

Now let,

S=r.θ (where S is distance covered/Arc length and r is radius of the circle/circular path)

→∆S=r.∆θ

→∆θ=∆S/r

Then ω=∆θ/∆t can be written as,

→ω.r=∆S/∆t

→V=∆S/∆t

→V=ω.r

V=ωr