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On which these factors does air/fluid resistance force, acting on a spherical body, not depend?
- a)Radius of body
- b)Velocity of body
- c)Coefficient of viscosity
- d)Density of body
Correct answer is option 'D'. Can you explain this answer?
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On which these factors does air/fluid resistance force, acting on a sp...
Resistance force by a fluid on a body = 6πηrv, where η is coefficient of viscosity, r is radius of body & v is its velocity. This doesn’t depend on density.
Another way to think of this is to imagine a hollow and solid sphere of the same radius falling through air at the same speed. The resistance offered by air will be the same on both as they have the same surface area exposed and are moving at the same speed.
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On which these factors does air/fluid resistance force, acting on a sp...
Air/Fluid Resistance Force on Spherical Body
Air or fluid resistance force is the force that opposes the motion of an object through a fluid medium. This force depends on various factors, such as the radius of the object, velocity of the object, and coefficient of viscosity of the fluid. However, it does not depend on the density of the object.
Factors that affect air/fluid resistance force:
1. Radius of the body: The air or fluid resistance force is directly proportional to the radius of the spherical body. This means that larger the radius of the body, the greater will be the resistance force.
2. Velocity of the body: The air or fluid resistance force is directly proportional to the velocity of the spherical body. This means that faster the body moves, the greater will be the resistance force.
3. Coefficient of viscosity: The air or fluid resistance force is directly proportional to the coefficient of viscosity of the fluid. This means that more viscous the fluid, the greater will be the resistance force.
4. Density of the fluid: The air or fluid resistance force does not depend on the density of the spherical body. This means that whether the body is dense or less dense, the resistance force will be the same.
Conclusion:
Air or fluid resistance force is an important factor that affects the motion of spherical bodies through a fluid medium. The resistance force depends on various factors such as radius, velocity, and viscosity of the fluid. However, it does not depend on the density of the body.
Air or fluid resistance force is the force that opposes the motion of an object through a fluid medium. This force depends on various factors, such as the radius of the object, velocity of the object, and coefficient of viscosity of the fluid. However, it does not depend on the density of the object.
Factors that affect air/fluid resistance force:
1. Radius of the body: The air or fluid resistance force is directly proportional to the radius of the spherical body. This means that larger the radius of the body, the greater will be the resistance force.
2. Velocity of the body: The air or fluid resistance force is directly proportional to the velocity of the spherical body. This means that faster the body moves, the greater will be the resistance force.
3. Coefficient of viscosity: The air or fluid resistance force is directly proportional to the coefficient of viscosity of the fluid. This means that more viscous the fluid, the greater will be the resistance force.
4. Density of the fluid: The air or fluid resistance force does not depend on the density of the spherical body. This means that whether the body is dense or less dense, the resistance force will be the same.
Conclusion:
Air or fluid resistance force is an important factor that affects the motion of spherical bodies through a fluid medium. The resistance force depends on various factors such as radius, velocity, and viscosity of the fluid. However, it does not depend on the density of the body.
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On which these factors does air/fluid resistance force, acting on a spherical body, not depend?a)Radius of bodyb)Velocity of bodyc)Coefficient of viscosityd)Density of bodyCorrect answer is option 'D'. Can you explain this answer?
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