Magnus Force

ryanmeyer2003

1. The problem statement, all variables and given/known data

A player kicks a ball into the goal on a free kick in soccer from the corner. We are to ultimatly estimate the spin on the ball. In part one of the question, we are to find the flight time of the ball. The ball reaches 5 meters off the ground.

Next, we assume the player kicked the ball from the exact corner of the field, which is 65 meters wide, and the ball lands exactly in the middle of the net. So the ball traveled 65 meters/2= 32.5 meters, what was the Y component of the ball's velocity?

The ball was kicked at an 85 degree angle, what was the X component of the ball's initial velocity? (Apparently, the tangent function will be useful here)

What is the accelleration in the X direction?

With the radius of the ball being .111 meters, and its mass being .425 kg, and based on the answer above, what is the magnus force? And, how fast (rev/second) was the ball spinning?


2. Relevant equations
T=2square root 2h/g
Vy=V0y+G(t)
Vy^2=V0y^2+2(ay)(Change in y)


3. The attempt at a solution

I have found the flight time to be 2.02 seconds, and I used that equation in the velocity in the Y direction and found the velocity in the Y direction to be 25.23 m/s. What I am stuck on is the X component of the balls initial velocity. I feel like I will be able to find the acceleration in the X direction by using the formula ax=Fx/mass.

Any help would be greatly appreciated, thank you.
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution