What is water impact velocity formula?

In summary, a student is seeking help finding a formula for calculating impact velocity in their research project. They have 50ml of water and a height of 10cm above the ground. They are in year 10 and would appreciate a simple explanation of the formula. A suggestion is made to look up the SUVAT equations of motion, which can calculate the final velocity given the initial velocity, acceleration, and distance. However, if the water is poured out quickly, finding the initial velocity will be more difficult for a year 10 student.
  • #1
Donch
1
0
Hello Everyone,

I am brand new to this forum and I am currently doing "student research project task" where I need to conduct my own experiment basically.

I am currently struggling to find a formula for an impact velocity. I hope there is someone in this forums that could help me.

What I have is water 50ml(which will be released from a burette), and the height above the ground surface 10cm.
(I am currently in year 10 so if the formula is complicated please explain it further so I could understand the formula please)

Thank you.
 
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  • #2
If you are releasing water drops slowly they will start at rest and accelerate due to gravity as they fall. Perhaps look up the SUVAT equations of motion on weikipedia. There is one that allows you to calculate the final velocity given the initial velocity, the acceleration and the distance (height).

If the water is pouring out quickly then the initial velocity has to be worked out and that's quite a bit harder (for a year 10).
 

What is the formula for water impact velocity?

The formula for water impact velocity is V = √(2gh), where V is the velocity in meters per second (m/s), g is the acceleration due to gravity (9.8 m/s²), and h is the height of the water drop in meters (m).

How is the formula for water impact velocity derived?

The formula for water impact velocity is derived from the principle of conservation of energy, where the potential energy of the water drop at the height h is converted into kinetic energy at impact. This is represented by the equation mgh = 1/2mv², where m is the mass of the water drop and v is the impact velocity. Solving for v gives us the formula V = √(2gh).

What factors can affect the water impact velocity?

The water impact velocity can be affected by the height of the water drop, the acceleration due to gravity, the density and viscosity of the water, and any external forces acting on the water drop such as air resistance. These factors can alter the potential and kinetic energy of the water drop, ultimately affecting the impact velocity.

Can the formula for water impact velocity be applied to objects other than water drops?

Yes, the formula for water impact velocity can be applied to any object that is dropped from a certain height and experiences the force of gravity. However, the density and viscosity of the object may affect the impact velocity, so the formula may need to be modified accordingly.

Is the formula for water impact velocity accurate in real-life scenarios?

The formula for water impact velocity provides a good estimate of the actual impact velocity in real-life scenarios, but it does not take into account external factors such as air resistance or surface tension. Therefore, the actual impact velocity may vary slightly from the calculated value. Additionally, the shape and size of the water drop can also affect the impact velocity, so the formula should be used as a guide rather than an exact value.

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