Question

A particle starts from points A with constant speed V on a circle of radius R find magnitude of average velocity after half revolution

Please solve this question
Answer is 2v / π.
Chapter : kinematics

Answer 1

Diameter=2* radius = 2R

Distance covered = Half the circumference = πR
Speed =Distance / Time
Time = Distance / Speed = πR / V

Average Velocity = Total Displacement / Total Time
= 2R * V / πR
= 2V / π

Answer 2

Answer:

The magnitude of the average velocity after half revolution is $\frac{2V}{\pi }$

Explanation:

Solution:

Diameter = 2 × R

Diameter = 2R

Distance covered is equal to the half of the circumference

Therefore,

Distance covered =  Half of the circumference

Distance covered = $\pi$R

We know that,

Speed =Distance /Time

Time  = Distance /speed

$Time = \frac{\pi R}{V}$

$Average Velocity = \frac{Total displacement}{Total time}$

$Average Velocity = \frac{2Rv}{\pi R}$

= $\frac{2V}{\pi }$

Final answer:

The magnitude of the average velocity is $\frac{2V}{\pi }$

#SPJ2