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Stoke’s Law Equation. Sir George G. Stokes, an English scientist, clearly expressed the viscous drag force F as: \ (\begin {array} {l}F=6\pi \eta rv\end {array} \) Where r is the sphere radius, η is the fluid viscosity, and v is the sphere’s velocity.
- Stoke’s Law is an equation that expresses the drag force resisting the fall of small spherical particles through a fluid medium.
- Stoke’s Law states that the force that retards a sphere moving through a viscous fluid is directly proportional to the velocity and the radius of t...
- We use Stoke’s law to determine the terminal velocity, the size and the density of sphere and liquid, respectively. Stoke’s law can also be used to...
- Stoke’s Law is valid for determining viscosity when velocity is constant.
- Settling of sediment in freshwater and measurement of the viscosity of fluids are some of the applications of Stoke’s Law.
- Stokes’s Law
- Terminal Velocity Formula
- Terminal Velocity Formula– Sample Problems
- FAQs About Terminal Velocity
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This law gives an expression for the viscous force experienced by a body (a spherical) moving through a fluid. This expression was given by Sir George G. Stokes. When a body falls through a fluid, as shown inFig. (a), it drags the layer of the fluid in contact with it, and the body experiences a retarding force when there is a relative motion betwe...
Consider a small sphere shown in Fig. (b) isfalling from rest through a large column of viscous fluid. The forces acting on the sphere are: (i) Weight (w) of the sphere which is acting vertically downwards. (ii) Upthrust or buoyancy force (Ft)acting vertically upwards. (iii) Viscous force (Fv)acting vertically upwards, i.e. in a direction opposite ...
Q.1. Assume that a spherical body is flowing through the water. The velocity of the body at a particular instant is 2ms–1. What will be the drag force on the body due to the fluid? Assume that Stokes’s law is valid. (Given: viscosity of water =0.001kgm–1s–1, the radius of spherical object =2mm) Ans: According to Stokes’s law, we know that the drag ...
Let’s look at some of the commonly asked questions about Terminal Velocity: Q.1. What is terminal velocity? Ans: Terminal velocity is defined as the highest velocity which can be attained by an object during its falling through the air. It happens when the sum of the dragged force ((Fd) and the buoyancy is equal to the downward force of gravity (Fg...
Learn how to calculate terminal velocity using Stokes's law and the formula vt = 2 r2 (ρ - σ) g η. See examples of terminal velocity for spherical objects falling through viscous fluids.
When the buoyancy effects are taken into account, an object falling through a fluid under its own weight can reach a terminal velocity (settling velocity) if the net force acting on the object becomes zero. When the terminal velocity is reached the weight of the object is exactly balanced by the upward buoyancy force and drag force. That is
Learn how to calculate the terminal velocity of an object falling under gravity or a constant driving force. See the formula, the factors affecting it, and solved examples with height and velocity.
Sep 22, 2022 · Learn what terminal velocity is and how to calculate it using different equations for different fluids and objects. See examples of terminal velocity for skydivers, raindrops, and more.
6 days ago · Learn how to calculate terminal velocity using a simple formula and a calculator. Find out the factors that affect terminal velocity and see examples for different objects and mediums.
Mar 11, 2024 · Use the terminal velocity formula, v = the square root of ((2*m*g)/(ρ*A*C)). Plug the following values into that formula to solve for v, terminal velocity. m = mass of the falling object; g = the acceleration due to gravity. On Earth this is approximately 9.8 meters per second squared.
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