State Stokes' Law.
ANSWER : Stokes' Law, formulated by British scientist Sir George Gabriel Stokes, describes the motion of a small spherical object through a viscous fluid. According to the law, the drag force experienced by the object is directly proportional to its velocity and the viscosity of the fluid, and inversely proportional to the radius of the object.
The formula for Stokes' Law is :
F = 6πηrv
where :
- F represents the drag force experienced by the object, measured in Newtons (N).
- η (eta) is the dynamic viscosity of the fluid, measured in Pascal-seconds (Pa·s).
- r is the radius of the spherical object, measured in meters (m).
- v is the velocity of the object through the fluid, measured in meters per second (m/s).
The drag force F is determined by multiplying the product of 6πηrv by the velocity v. The factor 6πη represents the resistance offered by the fluid to the object's motion. The greater the viscosity of the fluid, the larger this factor becomes, resulting in increased drag force. The radius of the object affects the drag force as well, a larger radius will generate a larger drag force.
Overall, Stokes' law demonstrates that smaller particles experience less resistance and fall more slowly through a fluid with low viscosity. This law is crucial in understanding various phenomena, such as sedimentation, the behavior of tiny particles in the atmosphere, and the movement of microscopic organisms in water.
Also Read : Define Critical Velocity.
Also Read : State Ampere's Law.
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