Question

Which of the following is a correct relationship between linear displacement and angular displacement?

a. v equals d over t
b. a equals r alpha
c. v equals r omega
d equals r theta

Answer 1

Answer:

V = rω

explanation :-

Consider a particle moving with uniform circular motion in anticlock wise direction with centre O and radius r the particle cover an arc of length △s in time △t moving from A to B.

Hence the angular displacement is

Hence the angular displacement is

△θ= △s / r

Dividing both side by △t

△θ /∆ t = 1/r × △s / △t

In the time interval △t be infinitesimally small (△t→0), then

lim

△t→θ △θ /∆t =ω and lim△t→θ △s / ∆ t =V

ω= V / r

V=rω

hope it will help you.....

Answer 2

Answer:

d ≈ rθ

Explanation: