Stokes law is an empirical law that relates the terminal velocity of a non-spherical particle to its size and density, as well as the viscosity of a fluid in which it is moving. Named after George Gabriel Stokes, who first derived this equation in 1851, it has been used for centuries in many applications related to fluid motion. In this article, we will explore what Stokes law is, its implications, and how it’s used in everyday life.

**What is Stokes Law?**

Stokes Law is a physical law that describes the motion of viscous fluid in a linear flow. The law is named after Sir George Gabriel Stokes, who first derived it in 1851.

The main result of Stokes’ Law is that the force required to move a object through a viscous fluid is proportional to the object’s velocity. For example, if you are trying to swim through honey, you will need to apply more force than if you are swimming through water.

The equation for Stokes’ Law is:

F = 6πηrv

Where:

F is the force required (in Newtons)

η is the viscosity of the fluid (in Pa·s)

r is the radius of the object (in meters)

v is the velocity of the object (in m/s)

**Stokes Law Formula**

Stokes Law is named after Sir George Gabriel Stokes, who developed the formula in 1851. The law relates the force required to move a spherical object through a fluid to the object’s speed, the fluid’s viscosity, and the sphere’s radius.

The force required to move an object through a fluid is given by:

F = 6πηrv

Where:

F is the force required (in dynes),

η is the fluid’s viscosity (in poise),

r is the radius of the sphere (in centimeters), and

v is the velocity of the sphere (in centimeters per second).

**How to use Stokes Law**

Assuming you are referring to the law named after Sir George Stokes, here is an explanation of how it is used.

The Stokes law equation can be used to calculate the terminal velocity of a small sphere falling through a viscous liquid. The equation is:

v = (2gr/9p) * (1 + ((2M)/(3m)))

Where:

v = velocity

g = acceleration due to gravity

r = radius of the sphere

p = density of the fluid

M = molecular weight of the fluid

m = mass of the sphere

**Examples of Stokes Law in action**

There are many examples of Stokes Law in action. One example is when a ball is dropped into a pool of water. The ball will sink to the bottom of the pool because the force of gravity is greater than the force of the water’s buoyancy. The ball experiences a force from the water that is equal to its weight, and this force slows the ball’s descent.

Another example of Stokes Law in action is when a helium-filled balloon is released into the air. The balloon will rise until it reaches a point where the atmospheric pressure is equal to the pressure inside the balloon. At this point, the balloon will stop rising and remain stationary.

**Why is Stokes Law important?**

Stokes Law is important because it describes the relationship between the drag force experienced by an object and the object’s velocity through a fluid. This relationship is linear, meaning that the drag force is proportional to the velocity. This relationship is also known as “drag coefficient”, which allows engineers to determine the amount of drag an object will experience at a given velocity.

**Conclusion**

In conclusion, Stokes Law is a fundamental principle that predicts the motion of particles in a fluid. This law has been used in many areas of engineering and science to help predict movement and aid in design. It’s an important concept to understand if you want to know more about particle motion or fluid mechanics, and it provides valuable insight into these concepts. We hope this article has given you some insight into what Stokes Law is and how it can be applied to everyday situations.

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