Stoke's law and its applications

In summary, Stoke's law states that the retarding force on a falling rain drop is proportional to its velocity. As the rain drop falls, it initially accelerates due to gravity, but as its velocity increases, the retarding force also increases. When the net force on the rain drop becomes zero, due to the balance of viscous force, buoyant force, and force due to gravity, the rain drop descends with a constant velocity. This is because if there is no acceleration, there will be no change in velocity, so the rain drop will continue to move at a constant velocity.
  • #1
logearav
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Homework Statement




Stoke's law states that retarding force is proportional to velocity. An example is falling rain drop in air.
My book states that " if a rain drop falls, it accelerates initially due to gravity. As the velocity increases, the retarding force force also increases. Finally, when viscous force plus buoyant force becomes equal to force due to gravity, the net force becomes zero and so does the acceleration.
The rain drop then descends with a constant velocity

Homework Equations





The Attempt at a Solution


My question is, if acceleration is zero, how the rain drop would move with constant velocity?
 
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  • #2
Acceleration is the rate of change of velocity with time. If acceleration is zero, how can the velocity change?
 
  • #3
So, even if there is no acceleration, a body will move. Am I interpreted right?
Thanks for the reply Mr. Dick
 
  • #4
logearav said:
So, even if there is no acceleration, a body will move. Am I interpreted right?
Thanks for the reply Mr. Dick

If a body is a rest and there is no acceleration, it will not start moving. If body is moving at velocity v and there is no acceleration then it will continue moving at velocity v.
 
  • #5
I got it now. Thanks a lot Mr. Dick
 

FAQ: Stoke's law and its applications

1. What is Stoke's law?

Stoke's law is a mathematical equation that describes the settling velocity of a small particle in a fluid medium. It is used to calculate the drag force on a particle as it falls through a fluid.

2. What is the application of Stoke's law in industry?

Stoke's law is used in various industries, such as wastewater treatment, oil and gas, and pharmaceuticals, to determine the settling rate of particles in a fluid. It is also used in the design of sedimentation tanks and centrifuges.

3. How does temperature affect Stoke's law?

According to Stoke's law, the settling velocity of a particle is directly proportional to the particle's radius. This means that at higher temperatures, where the fluid's viscosity is lower, particles will settle faster. Conversely, at lower temperatures, particles will settle slower due to the higher viscosity of the fluid.

4. Can Stoke's law be applied to all types of particles?

No, Stoke's law is only applicable to small, spherical particles that are settling in a fluid medium. It does not apply to irregularly shaped particles or particles that are too large or too small.

5. How accurate is Stoke's law?

Stoke's law is a simplification of the complex process of particle settling in a fluid. While it is a good approximation for small particles settling at low velocities, it may not accurately predict the settling behavior of larger or faster-moving particles. Other factors, such as particle shape and fluid turbulence, can also affect the accuracy of Stoke's law.

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