Projectile motion experimental vs theoretical results

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Discussion Overview

The discussion revolves around the discrepancies between experimental and theoretical results in projectile motion. Participants explore various factors that may contribute to these differences, including assumptions in theoretical models and external influences such as wind resistance.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants suggest that experimental results differ from theoretical predictions due to factors like wind resistance, which is often not accounted for in basic theoretical models.
  • One participant emphasizes the importance of understanding the assumptions behind theoretical models, noting that they may be too simplistic or overly complex depending on the context.
  • Another participant questions the impact of wind on the results when using a steel ball as a projectile, indicating uncertainty about other potential factors.
  • There is a suggestion that to improve accuracy, one should identify all forces acting on the projectile and consider more complex models, although this increases mathematical complexity.
  • A participant highlights the need for precise questioning and quantification of variables, suggesting that the impact of wind should be analyzed in relation to specific conditions such as the projectile's size and velocity.
  • One participant points out that vague questions about experimental results can lead to confusion and emphasizes the need for clarity in describing the experimental setup and results.

Areas of Agreement / Disagreement

Participants express differing views on the factors affecting the accuracy of projectile motion experiments. While some agree that wind resistance is a significant factor, others raise questions about the clarity and specificity of the experimental conditions being discussed. Overall, there is no consensus on the exact reasons for the discrepancies between experimental and theoretical results.

Contextual Notes

Participants note that the accuracy of experimental results can vary significantly based on the precision of measurements and the specific conditions of the experiment. There is also an acknowledgment that simplified models may not capture all relevant forces, leading to differing outcomes.

stupif
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in projectile motion, why the experimental results are different with theoretical result?
thank you
 
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stupif said:
in projectile motion, why the experimental results are different with theoretical result?
thank you

Things like wind resistance effect real results.

You typically have to study the medium that objects are embedded in. The theoretical models are based on the assumption that the only force acting on the object is gravity, and based on this, the projectile motion equations are derived.

Usually the next step up is to consider something like drag or a co-effecient for wind resistance.

Just as a note for future learning, its a good idea to look at the assumptions used. They might be too few (like introductory projectile motion), or too many (like a model that takes into account fluid dynamics like navier stokes). Sometimes you need to be precise and the "too many" model is sometimes "not enough".

If you wanted to do the most accurate model you would identify all the types of forces and simulate them at a desired level. The math is going to be more complex, but its usually going to be more reflective of what happens.
 
but i use steel ball as projectile...the wind will affect the result??or other factors except wind...
 
stupif said:
but i use steel ball as projectile...the wind will affect the result??or other factors except wind...

I'm not a physicist, so the short is answer I'm not sure. Can you describe your experiment? Since you mention your using a steel ball, you probably didn't throw it (correct me otherwise).

This is basically what happens in science. You do experiments and find that simplified models don't work, so you either accept their limited accuracy or you add to your model.

Asides from obvious things like wind and drag, I can't off the top of my head think of simple attributes that could be added to your model, without resorting to a first principles approach.
 
stupif said:
but i use steel ball as projectile...the wind will affect the result??or other factors except wind...

The wind will definitely affect the result.
 
You really need to quantify things in your questions. If you throw a steel ball of 1" radius straight up in the air as hard as you can with no wind, it is going to go straight up and come straight down. If the wind is 100mp the ball is NOT going to go straight up and straight down. A more intelligent question would be, if I throw the ball of radius x, with velocity y, and there is a wind of velocity v perpendicular to the flight path, would the wind affect the ball's landing point by more than z inches?
 
stupif said:
in projectile motion, why the experimental results are different with theoretical result?
thank you

It depends on what your theory is. If you have a set up in which the launcher and a penny are at practically the same location, and you theorize the penny will strike the floor first, the experimental result may not support your hypothesis.
 
stupif said:
in projectile motion, why the experimental results are different with theoretical result?
thank you

This is VERY vague. What "results" exactly are different? And how much do they differ? If your experimental accuracy is +/- 0.01 and the result differ by 0.001, do you consider this as different? You need to put in SOME effort in present as clear and as complete of a description as possible.

And if this is part of a lab/schoolwork/etc., it should have been posted in the HW/Coursework forum.

Zz.
 

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