If the ratio of centripetal acceleration of two particles moving on the same circular path is \(3: 4\). Find the ratio of their speed.
- \(2 : \sqrt3\)
- \(\sqrt3 : 2\)
- \(\sqrt3 : 1\)
- \(\sqrt2 : 1\)
The Correct Option is B
Solution and Explanation
The Correct option is (B): \(\sqrt3 : 2\)
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Concepts Used:
Centripetal Acceleration
A body that moves in a circular motion (with radius r) at a constant speed (v) is always being accelerated uninterruptedly. Thus, the acceleration is at the right angle to the direction of the motion. It is towards the center of the sphere and that of the magnitude 𝑣2/r.
The direction of the acceleration is extrapolated through symmetry arguments. If it points the acceleration out of the plane of the sphere, then the body would pull out of the plane of the circle.
Read More: Centripetal Acceleration