Question

A particle is moving along a circular path of radius 5m

with a uniform speed 5 ms-1. What will be the average

acceleration when the particle completes half

revolution ?

(a) Zero
(b) 10

(c) 10 π
(d) 10
/π

Answer 1

ANSWER

(D)10/π



QUESTION



A particle is moving along a circular path of radius 5m

with a uniform speed 5 ms-1. What will be the average

acceleration when the particle completes half

revolution ?






ANSWER.


FORMULA USED



$average \: acceleration = \frac{average \: velocity \: }{time}$



$average \: velocity = \frac{total \: distance}{time}$


so,

CIRCUMFERENCE OF CIRCLE



TOTAL DISTANCE =πr

(Because particle cover half distance)



Velocity=5ms^-1


$velocity = \frac{distance}{time}$



$5 = \frac{\pi5}{time}$


$time = \pi \: \: sec$





Now discuss about velocity

initial velocity and final velocity is opposite in direction


you do yourself look an attachment and like
me draw a tangent on both initial and final point






so acceleration become

$average \: acceleration= \frac{5 - ( - 5)}{\pi}$



$= \frac{10}{\pi} \frac{m}{ {s}^{2} }$



$\frac{10}{\pi}m {s}^{ - 2}$