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Request for V50 calculator

The V50 formula is used to estimate a bullet's velocity at a specific range, often used in ballistics calculations. It's a way to calculate the velocity of a projectile at a distance where the expected velocity is known at a different distance. The formula is based on experimental data and can be found in various ballistic resources. Here's a breakdown of the concept and how it might be used with a calculator: What is the V50 Formula? The V50 formula is used to determine a projectile's velocity (V) at a specific distance (D) based on its velocity (V1) at a known distance (D1) and a known ballistic coefficient (BC). It helps estimate the velocity at a different point in the projectile's trajectory.

Formula:

The general form of the V50 formula is:

V = V1 * (D1/D)^n

Where:

  • V is the velocity at the target distance.
  • V1 is the initial velocity at a known distance.
  • D1 is the known distance from the muzzle.
  • D is the target distance.
  • n is a factor that varies based on the projectile and its ballistic coefficient.
Using a Calculator:
  1. 1. Identify Knowns:
    Determine the initial velocity (V1), the initial distance (D1), and the target distance (D).
  2. 2. Determine "n":
    The exponent "n" is usually provided in ballistics tables or calculated based on the projectile's ballistic coefficient and other factors.
  3. 3. Input into Calculator:
    Enter the values into the formula on your calculator, following the order of operations.
  4. 4. Calculate:
    Perform the calculations, paying attention to order of operations (parentheses, exponents, multiplication/division, addition/subtraction).
Example:

Let's say you know: V1 = 2700 ft/s (at D1 = 100 yards), D = 300 yards, and n = 0.5.

Then, the calculation would be:

V = 2700 * (100/300)^0.5

V ≈ 1558.85 ft/s

Important Considerations:
  • The V50 formula is an approximation. Real-world ballistics can be affected by various factors like wind, temperature, and air density.
  • Different sources may provide slightly different formulas or values for "n" based on their specific models and data. Always refer to reliable ballistics resources.

  • Some calculators may have built-in functions for calculating projectile trajectories, making the process easier.
  • Graphing calculators can be programmed to perform these calculations.
 
Hi,
Consider this link:

Pierre
 
Body armor perforation performance is usually assessed using V50 ballistic limit testing. An updown approach is used to systematically regulate shot velocities in order to fill a sample with data on both sides of the actual V50 velocity value. The velocity at which there is a 50% chance of perforation is known as the V50 velocity. The updown technique and starting velocities are controlled by test protocols; nevertheless, the firing system's velocity control limits the ability to acquire the necessary shot velocity. It is debatable whether perforation and non-perforation results are enough balanced regarding the genuine V50 response of the test item to produce valid results in such circumstances because permitted sample sizes can be somewhat small. Depending on how far away and on which side of the actual V50 the initial shot is taken, there is probably bias in the outcome. Furthermore, if the test item's zone of mixed results is really vast, there might not be enough data to get an accurate V50 result. The study shows how changing the parameters under discussion affects the V50 estimate in regard to a realistic soft armor binary response relationship that is specified by a logistic regression function. The function and nominal parameter choices serve as the actual underlying response curve for the run simulations. A logistic regression solution and the straightforward averaging of six- and ten-round samples are two of the various approaches to determining V50 that are also looked at. Both the impact of step size on the V50 result and larger samples are investigated. To examine the impact of the zone of mixed outcomes, the truth set is changed from a step response to a typical logistic distribution. To get a general overview of the test technique, trends are shown in relation to the V50 truth set. Mehrwertsteuer Rechner Suggestions are offered to enhance the V50 test methodology's accuracy and consistency.
 
Well the new OP hasn't been seen since he posted the question 10 days ago which would appear to have two or more versions of " V50"

So maybe wait until Shiv provides a bit more detail on what "V50" he is referring to..... As this is a chemical engineering Forum I don't think it's anything to do with the velocity of bullets or shells.
 

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