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What is the formula for measuring viscosity in the context of a sphere dropped into a fluid?
  • a)
    F = ma
  • b)
    E = mc²
  • c)
    ??agv
  • d)
    P = VI
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the formula for measuring viscosity in the context of a sphere...
The formula ??agv is used to measure viscosity when a sphere is dropped into a fluid, where ?? is the density difference, a is the radius, g is acceleration due to gravity, and v is the velocity.
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What is the formula for measuring viscosity in the context of a sphere...
Formula for Measuring Viscosity in the Context of a Sphere Dropped into a Fluid
  1. Stokes' Law:

  2. Stokes' Law is a formula used to calculate the viscosity of a fluid by observing the motion of a sphere dropped into that fluid. The formula is given as:
    F = 6πrηv
    Where:
    F = Drag force acting on the sphere
    r = Radius of the sphere
    η = Viscosity of the fluid
    v = Velocity of the sphere
  3. Explanation:

  4. When a sphere is dropped into a fluid, it experiences a drag force due to the resistance of the fluid. This drag force can be calculated using Stokes' Law, which relates the drag force to the velocity of the sphere, the radius of the sphere, and the viscosity of the fluid. By measuring the velocity of the sphere and the radius of the sphere, the viscosity of the fluid can be determined using this formula.
  5. Significance:

  6. This formula is particularly useful in fluid dynamics and rheology studies where the viscosity of a fluid needs to be measured accurately. By observing the motion of a sphere in the fluid and applying Stokes' Law, researchers and scientists can determine the viscosity of various fluids, which is essential for understanding their flow properties and behavior.
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What is the formula for measuring viscosity in the context of a sphere dropped into a fluid?a)F = mab)E = mc²c)??agvd)P = VICorrect answer is option 'C'. Can you explain this answer?
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