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A free vortex
- a)has the velocity decreasing with the radius
- b)has the velocity increasing with the radius
- c)has constant velocity
- d)has the velocity varying inversely with the square of radius
Correct answer is option 'A'. Can you explain this answer?
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A free vortexa)has the velocity decreasing with the radiusb)has the ve...
Free vortex is a type of flow in which the fluid particles rotate about a common center without any external force acting on them. The velocity of the fluid particles varies with the radius of rotation. The correct answer is option 'A', which states that the velocity decreases with the radius.
Explanation:
The velocity of the fluid particles in free vortex flow can be determined by applying the principle of conservation of angular momentum. According to this principle, the angular momentum of a fluid particle remains constant as long as there is no external torque acting on it. In free vortex flow, the fluid particles rotate about a common center, and hence their angular momentum remains constant.
The angular momentum of a fluid particle is given by the product of its mass, velocity, and distance from the center of rotation. Mathematically,
Angular momentum = mvr
where m is the mass of the fluid particle, v is its velocity, and r is its distance from the center of rotation.
As the fluid particles move away from the center of rotation, their distance from the center increases. In order to maintain the constant angular momentum, the velocity of the fluid particles must decrease with the radius. This is because the mass of the fluid particle remains constant, and its angular momentum is proportional to the distance from the center of rotation.
Therefore, the correct answer is option 'A', which states that the velocity of the fluid particles in free vortex flow decreases with the radius.
Explanation:
The velocity of the fluid particles in free vortex flow can be determined by applying the principle of conservation of angular momentum. According to this principle, the angular momentum of a fluid particle remains constant as long as there is no external torque acting on it. In free vortex flow, the fluid particles rotate about a common center, and hence their angular momentum remains constant.
The angular momentum of a fluid particle is given by the product of its mass, velocity, and distance from the center of rotation. Mathematically,
Angular momentum = mvr
where m is the mass of the fluid particle, v is its velocity, and r is its distance from the center of rotation.
As the fluid particles move away from the center of rotation, their distance from the center increases. In order to maintain the constant angular momentum, the velocity of the fluid particles must decrease with the radius. This is because the mass of the fluid particle remains constant, and its angular momentum is proportional to the distance from the center of rotation.
Therefore, the correct answer is option 'A', which states that the velocity of the fluid particles in free vortex flow decreases with the radius.
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Community Answer
A free vortexa)has the velocity decreasing with the radiusb)has the ve...
Velocity is inversely proportional to radius for free vortex flow, whenever directly proportional to radius in case of forced vortex flow
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