Question:
A body is moving in a circular path with acceleration $a$. If its velocity gets doubled, find the ratio of acceleration after and before the change :
A body is moving in a circular path with acceleration $a$. If its velocity gets doubled, find the ratio of acceleration after and before the change :
Updated On: Jul 27, 2022
- 1:04
- $ \frac{1}{4}:1 $
- 2:01
- 4:01
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The Correct Option is D
Solution and Explanation
In a circular motion
$a =\frac{v^{2}}{r} $
$\therefore \frac{a_{2}}{a_{1}} =\left(\frac{v_{2}}{v_{1}}\right)^{2} $
$=\left(\frac{2 v_{1}}{v_{1}}\right)^{2}=4$
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration