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What is the magnitude of vorticity?
- a)Twice of angular rotation
- b)Thrice of angular rotation
- c)Two and half times of angular rotation
- d)Same as angular rotation
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
What is the magnitude of vorticity?a)Twice of angular rotationb)Thrice...
Explanation: It is the mathematical relation between the two.
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What is the magnitude of vorticity?a)Twice of angular rotationb)Thrice...
Magnitude of Vorticity
Vorticity is a measure of the local rotation of a fluid. It is defined as the curl of the velocity vector of the fluid. The magnitude of vorticity is a scalar quantity that describes the strength of the rotation.
Formula for Magnitude of Vorticity
The magnitude of vorticity is given by the formula:
ω = 2Ωsinθ
where ω is the magnitude of vorticity, Ω is the angular rotation, and θ is the angle between the rotation axis and the fluid element.
Answer Explanation
Option A states that the magnitude of vorticity is twice the angular rotation. This is consistent with the formula for vorticity, which shows that the magnitude of vorticity is proportional to the angular rotation.
Option B and C are incorrect because they overestimate the magnitude of vorticity, while option D is incorrect because it underestimates the magnitude of vorticity.
Therefore, the correct answer is option A, which states that the magnitude of vorticity is twice the angular rotation.
Vorticity is a measure of the local rotation of a fluid. It is defined as the curl of the velocity vector of the fluid. The magnitude of vorticity is a scalar quantity that describes the strength of the rotation.
Formula for Magnitude of Vorticity
The magnitude of vorticity is given by the formula:
ω = 2Ωsinθ
where ω is the magnitude of vorticity, Ω is the angular rotation, and θ is the angle between the rotation axis and the fluid element.
Answer Explanation
Option A states that the magnitude of vorticity is twice the angular rotation. This is consistent with the formula for vorticity, which shows that the magnitude of vorticity is proportional to the angular rotation.
Option B and C are incorrect because they overestimate the magnitude of vorticity, while option D is incorrect because it underestimates the magnitude of vorticity.
Therefore, the correct answer is option A, which states that the magnitude of vorticity is twice the angular rotation.
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What is the magnitude of vorticity?a)Twice of angular rotationb)Thrice of angular rotationc)Two and half times of angular rotationd)Same as angular rotationCorrect answer is option 'A'. Can you explain this answer?
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