Mechanical Engineering Exam > Mechanical Engineering Questions > The direction of Corioli's component of a...
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The direction of Corioli's component of acceleration is the direction
- a)of relative velocity vector for the two coincident points rotated by 90º in the direction of the angular velocity of the rotation of the link.
- b)along the centripetal acceleration
- c)along tangential acceleration
- d)along perpendicular to angular velocity
- e)none of the above
Correct answer is option 'A'. Can you explain this answer?
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The direction of Corioli's component of acceleration is the direct...
The Coriolis component of acceleration is a result of the Coriolis effect, which is caused by the rotation of the Earth. It is a fictitious force that appears to act on objects moving in a rotating reference frame. This effect is most commonly observed in the rotation of large-scale weather systems and ocean currents.
The direction of the Coriolis component of acceleration can be determined by considering the relative velocity vector for two coincident points. The relative velocity vector is the vector difference between the velocity vectors of the two points. The direction of this vector is then rotated by 90 degrees in the direction of the angular velocity of the rotation of the reference frame.
Let's break down the options given:
a) The direction of the Coriolis component of acceleration is the direction of the relative velocity vector for the two coincident points rotated by 90 degrees in the direction of the angular velocity of the rotation of the link. This is the correct answer because it describes the correct relationship between the relative velocity vector and the Coriolis component of acceleration.
b) The direction of the Coriolis component of acceleration is not along the centripetal acceleration. Centripetal acceleration is the acceleration directed towards the center of a circular path and is not related to the Coriolis effect.
c) The direction of the Coriolis component of acceleration is not along the tangential acceleration. Tangential acceleration is the acceleration directed tangent to the path of an object moving in a circular path and is not related to the Coriolis effect.
d) The direction of the Coriolis component of acceleration is not along the perpendicular to the angular velocity. This option is close to the correct answer, but it does not include the 90-degree rotation of the relative velocity vector.
e) None of the above. This option is incorrect as option A is the correct answer.
In conclusion, the direction of the Coriolis component of acceleration is the direction of the relative velocity vector for two coincident points rotated by 90 degrees in the direction of the angular velocity of the rotation of the link.
The direction of the Coriolis component of acceleration can be determined by considering the relative velocity vector for two coincident points. The relative velocity vector is the vector difference between the velocity vectors of the two points. The direction of this vector is then rotated by 90 degrees in the direction of the angular velocity of the rotation of the reference frame.
Let's break down the options given:
a) The direction of the Coriolis component of acceleration is the direction of the relative velocity vector for the two coincident points rotated by 90 degrees in the direction of the angular velocity of the rotation of the link. This is the correct answer because it describes the correct relationship between the relative velocity vector and the Coriolis component of acceleration.
b) The direction of the Coriolis component of acceleration is not along the centripetal acceleration. Centripetal acceleration is the acceleration directed towards the center of a circular path and is not related to the Coriolis effect.
c) The direction of the Coriolis component of acceleration is not along the tangential acceleration. Tangential acceleration is the acceleration directed tangent to the path of an object moving in a circular path and is not related to the Coriolis effect.
d) The direction of the Coriolis component of acceleration is not along the perpendicular to the angular velocity. This option is close to the correct answer, but it does not include the 90-degree rotation of the relative velocity vector.
e) None of the above. This option is incorrect as option A is the correct answer.
In conclusion, the direction of the Coriolis component of acceleration is the direction of the relative velocity vector for two coincident points rotated by 90 degrees in the direction of the angular velocity of the rotation of the link.
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The direction of Corioli's component of acceleration is the directiona)of relative velocity vector for the two coincident points rotated by 90º in the direction of the angular velocity of the rotation of the link.b)along the centripetal accelerationc)along tangential accelerationd)along perpendicular to angular velocitye)none of the aboveCorrect answer is option 'A'. Can you explain this answer?
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