A slider moves with uniform velocity ‘v’ on a revolving link of lengt...
A slider moves with uniform velocity ‘v’ on a revolving link of lengt...
The Coriolis effect is a phenomenon that occurs when an object is moving in a rotating reference frame, such as a revolving link. It causes a deflection in the motion of the object, resulting in an acceleration known as the Coriolis acceleration. In this case, we have a slider moving with a uniform velocity 'v' on a revolving link of length 'l' with angular velocity 'ω'. Let's analyze the situation to understand why the correct answer is option 'B'.
1. Understanding the Coriolis effect:
- The Coriolis effect is a result of the conservation of angular momentum. As the link rotates, it imparts an angular momentum to the slider, causing it to move in a circular path.
- The Coriolis acceleration arises due to the change in velocity of the slider as it moves along the circular path.
2. Determining the direction of the Coriolis acceleration:
- The Coriolis acceleration is always perpendicular to the velocity of the object and the axis of rotation.
- In this case, the slider is moving with velocity 'v' along the revolving link. The velocity vector is tangential to the circular path.
- The axis of rotation is perpendicular to the plane of motion.
- Therefore, the Coriolis acceleration will be perpendicular to both the velocity vector and the axis of rotation.
3. Analyzing the options:
a) ωv parallel to the link: This option is incorrect because the Coriolis acceleration is always perpendicular to the axis of rotation, not parallel to it.
b) 2ωv perpendicular to the link: This option is correct because the Coriolis acceleration is indeed perpendicular to both the velocity vector and the axis of rotation.
c) ωv perpendicular to the link: This option is incorrect because the magnitude of the Coriolis acceleration is not equal to the angular velocity 'ω', but rather to twice the angular velocity '2ω'.
d) 2ωv parallel to the link: This option is incorrect because the Coriolis acceleration is always perpendicular to the axis of rotation, not parallel to it.
Therefore, the correct answer is option 'B' - 2ωv perpendicular to the link.
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