Distance it takes for terminal velocity

In summary, terminal velocity is the maximum speed an object can reach while falling through a fluid. It is calculated using the formula Vt = √(2mg/cρA) and is affected by factors such as the object's mass, size, shape, and the properties of the fluid. The distance it takes to reach terminal velocity can be changed by altering these factors. Understanding terminal velocity is important for various scientific fields and practical applications. It also helps us understand the effects of air resistance and fluid dynamics on moving objects.
  • #1
PhyStan7
18
0
Hi, i just wondered if it is possible by calculation to determine how far in a viscous liquid it would take for an object (sphere, ball bearing) to reach terminal velocity. I have to design an experiment to investigate Stokes law. Could i use suvat equations as it is constant acceleration?

Thanks
 
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  • #2
Unfortunately it is not constant acceleration.

Here is an interesting lecture on drag that you might benefit from:

https://www.youtube.com/watch?v=9lvNofoUYwI
 
  • #3
for your question. Yes, it is possible to calculate the distance it would take for an object to reach terminal velocity in a viscous liquid. This can be done using Stokes law, which relates the drag force on an object to its velocity and the properties of the fluid it is moving through. The equation for Stokes law is Fd = 6πηrv, where Fd is the drag force, η is the viscosity of the fluid, r is the radius of the object, and v is the velocity of the object.

To determine the distance it takes for an object to reach terminal velocity, you would need to use the equation for terminal velocity, which is v = mg/6πηr, where m is the mass of the object and g is the acceleration due to gravity. Then, using the suvat equations, you can calculate the distance using the equation s = ut + 1/2at^2, where u is the initial velocity (which is zero in this case), a is the acceleration (which is the terminal velocity calculated from the previous equation), and t is the time it takes for the object to reach terminal velocity.

However, keep in mind that this calculation assumes that the object is falling vertically in a uniform and constant gravitational field. In reality, there may be other factors at play that could affect the distance it takes for an object to reach terminal velocity, such as the shape and density of the object, the shape and size of the container it is falling through, and any turbulence in the liquid. So, it would be best to design an experiment to investigate Stokes law and determine the distance for your specific system. Good luck with your experiment!
 

Related to Distance it takes for terminal velocity

1. What is terminal velocity?

Terminal velocity is the maximum speed an object can reach while falling through a fluid, such as air or water. It occurs when the force of gravity on the object is equal to the drag force of the fluid on the object.

2. How is terminal velocity calculated?

The formula for calculating terminal velocity is: Vt = √(2mg/cρA), where Vt is the terminal velocity, m is the mass of the object, g is the acceleration due to gravity, c is the drag coefficient of the object, ρ is the density of the fluid, and A is the cross-sectional area of the object.

3. What factors affect the distance it takes for terminal velocity to be reached?

The distance it takes for terminal velocity to be reached is affected by the mass, size, and shape of the object, as well as the density and viscosity of the fluid it is falling through. Other factors such as air resistance and atmospheric conditions can also play a role.

4. Can the distance for terminal velocity be changed?

Yes, the distance for terminal velocity can be changed by altering the factors that affect it. For example, changing the mass, size, or shape of the falling object can impact the distance it takes to reach terminal velocity. Additionally, changing the properties of the fluid, such as its density or viscosity, can also affect the distance.

5. Why is understanding terminal velocity important?

Understanding terminal velocity is important for a variety of scientific fields, including physics, engineering, and meteorology. It can also be useful in practical applications such as designing parachutes or understanding the behavior of objects falling through the atmosphere. Additionally, understanding terminal velocity can help us better understand the effects of air resistance and fluid dynamics on objects in motion.

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