Simulating Thrown Sphere: Find X,Y Positions & Add Drag Force

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In summary, we discussed simulating a sphere being thrown in the air and finding its x and y positioning using equations involving initial velocity, angle, time, and gravity. However, we also considered the impact of drag on the sphere and how to incorporate it into the equations by adding a force proportional to the velocity. Integrating this approach into a computer simulation would allow for greater flexibility and accuracy.
  • #1
Mgccl
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I'm trying to simulate a sphere got thown in the air
I have find the way of knowing x,y positioning of the sphere though this equation:
x(t) = vt cos(theta)
y(t) = vt sin(theta) - (gt^2)/2
Where v is the initial velocity, theta is the angle, t is the time and g is the gravity.

But this does not take into account of the drag, what if there is drag?
suppose I know the force of drag, where should I add in the 2 functions above?
 
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  • #2
Drag acts in the (opposite) direction of the object, and is a function of the speed.
 
  • #3
Are you simulating this on a computer? If so then the easier and more flexible approach would be to use integration. You could start with Euler intergration (google it). You basically calculate the forces on the ball each frame, use that to get the velocity and use that to change the position of the ball. YOu can easily add drag by adding a force proportional to the velocity.
 

Related to Simulating Thrown Sphere: Find X,Y Positions & Add Drag Force

1. What is the purpose of simulating a thrown sphere?

The purpose of simulating a thrown sphere is to accurately predict the trajectory and position of the sphere as it moves through the air. This can be helpful in various fields such as physics, engineering, and sports.

2. How do you calculate the X and Y positions of a thrown sphere?

The X and Y positions of a thrown sphere can be calculated using the equations of motion, taking into account the initial velocity, acceleration due to gravity, and time elapsed. These equations can be solved using numerical methods or through analytical solutions.

3. What is the role of drag force in simulating a thrown sphere?

Drag force is a resistance force that acts in the opposite direction of the motion of the thrown sphere. It is caused by air resistance and affects the velocity and trajectory of the sphere. Accounting for drag force in the simulation can lead to more accurate results.

4. How can you ensure the accuracy of a thrown sphere simulation?

To ensure the accuracy of a thrown sphere simulation, it is important to use realistic values for initial velocity, mass, and drag coefficient. Additionally, using a smaller time interval for calculations and incorporating higher order numerical methods can improve the accuracy of the simulation.

5. Can a thrown sphere simulation be used to predict the motion of a real object?

Yes, a thrown sphere simulation can be used to predict the motion of a real object with a similar size and shape. However, the accuracy of the simulation may vary depending on the assumptions and approximations made in the model. Factors such as wind, air temperature, and surface texture may also affect the motion of a real object in ways that cannot be fully accounted for in the simulation.

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