Implementing wind into projectile calculation.

In summary, the conversation discusses the calculation of the distance of a rock thrown at a certain angle, velocity, and wind speed/direction. The person is using a specific equation, but wants to know how to incorporate the wind variable. They are advised to first draw a diagram and then consider the equations of motion, taking into account drag and its effect on speed. It is also noted that wind affects both horizontal and vertical movement.
  • #1
lamborghini
1
0

Homework Statement


Calculate distance of a rock thrown at certain angle, velocity and wind speed/direction.

Homework Equations


I'm using this: 2(vi^2)sin(theta)cos(theta)/9.8 to calculate the distance of the throw. How could I implement a wind value and direction into this equation? This is only a 2D simulation, so the wind would only affect the x value.

Thanks for the help.
 
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  • #2
Forget about equations at first ... draw a diagram and see what's going on and THEN figure out how to put it into an equation.
 
  • #3
It is not a simple modification to that equation. You need to start with the differential equations of motion (ΣF=ma). In that, you will need to decide how drag affects speed. Drag force = constant x speed2 is usual.

It is not true that wind only affects the horizontal movement. It also slows vertical descent.
 

1. How does wind affect projectile calculations?

Wind can affect projectile calculations in two main ways: wind can change the trajectory of the projectile, and it can also change the speed at which the projectile travels. This means that when calculating the distance and accuracy of a projectile, wind must be taken into account.

2. How do I incorporate wind into my projectile calculations?

To incorporate wind into projectile calculations, you will need to consider both the wind speed and direction. This information can be obtained through weather reports or by using an anemometer on location. Then, you will need to use the wind speed and direction to adjust the trajectory and velocity of the projectile in your calculations.

3. Can I use the same equation for projectile motion with and without wind?

No, the equation for projectile motion does not take into account the effect of wind. A separate equation, such as the wind-corrected projectile motion equation, must be used to accurately calculate the motion of a projectile in the presence of wind.

4. How accurate are wind-corrected projectile calculations?

The accuracy of wind-corrected projectile calculations depends on the accuracy of the wind speed and direction measurements, as well as the accuracy of the equations used. In most cases, wind-corrected calculations will be more accurate than calculations without taking wind into account.

5. Are there any limitations to incorporating wind into projectile calculations?

One limitation is that wind is constantly changing, so the accuracy of the calculations will depend on how frequently the wind speed and direction are measured and adjusted for. Additionally, wind can be affected by various factors such as terrain and objects in the projectile's path, which may not always be accounted for in the calculations.

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