Question

A particle is rotating in a circle of radius 1m with constant speed 4 m/s. In time 1 s, match the following
8.
Column II
(in SI units)
Column I
(A) Displacement
(B) Distance
(C) Average velocity
(D) Average acceleration
(p) 8sin2
(q) 4
(r) 2sin2
(s) 4sin2​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given: A particle is rotating in a circle of radius 1m with constant speed 4 m/s

To find: In 1sec find Displacement, Distance, Average Velocity, Average Acceleration

solution: since the particle is moving with a constant speed, so we can consider this as a uniform circular motion in which the linear distance covered by the particle will be the same in every second of its motion.

Here according to this question, we can say that.

A) Displacement will be 2Rsinθ/2 here R is the radius of the circular motion, θ =l/R = 4/1

So Displacement= 2sin2

B) Distance covered by a particle in one second will be vt

in which v is the speed of the particle and t is the time interval

So distance= vt = 4m

C) Average Velocity= displacement/time = 2sin2

D)Average acceleration= Change in velocity/time = 2×4sin2= 8sin2

So the correct matching will be

So the correct matching will be A-r, B-q, C-r, D-p.