Calculating G-Force in Ski Jumping: 40m Radius, 37 to 9 Degrees

In summary, the skijumper is wondering about the amount of g-forces they experience during their run, given the radius of the curve, the angles before and after the curve, and the speed at the start and end of the curve. They are also curious if the amount of g-forces would be different if they started at a different angle. The highest g-forces will always be at the bottom of the curve, where Earth's gravity and centripetal acceleration add together, and at a speed of approximately 93 km/h, the skijumper would experience a maximum of 2.7 G of force.
  • #1
xvillix
2
0
Hello, I´m a skijumper and wondering the amount of g-forces I am put through in the innrun.
So this is the data:

Radius 40 meter
Angel before the curve 37 degrees
Angel after the curve 9 degrees
Speed 93 km/h
The speed at the start of the curve is probably 85 km/h and 93 km/h at the end.

Can someone calculate the amount of g-forces please?

Would the amount of g-forces been different if you would have gone from 180 degrees to 152 degrees. Or does the angel of where you are have nothing to say?

Thank you.
 
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  • #2
Highest g-forces will always be at the very bottom of the curve, because that's where Earth's gravity adds directly with the force due to centripetal acceleration, as well as being the point of highest velocity.

Assuming that 93km/h is good estimate for speed at the lowest point (the 9° after that shouldn't make a big difference) you'd be pulling max of 2.7 G. (1.7 from curvature + 1 from gravity).
 
  • #3
Thank you
 

1. What is the formula for calculating G-force in ski jumping?

The formula for calculating G-force in ski jumping is: G = (v^2 / r) * cos(theta), where G is the G-force, v is the speed of the skier, r is the radius of the jump, and theta is the angle of the slope.

2. How do you determine the speed of the skier in ski jumping?

The speed of the skier can be determined by measuring the distance traveled and the time it takes to cover that distance. This can also be calculated using the equation v = d/t, where v is the speed, d is the distance, and t is the time.

3. What is the significance of the 40m radius in ski jumping?

The 40m radius is the standard radius for a ski jumping hill. It is used to measure the distance traveled by the skier and to calculate G-force. It also helps to ensure consistency and fairness in competition.

4. How does the angle of the slope affect G-force in ski jumping?

The angle of the slope, also known as the theta in the formula, has a direct impact on G-force. As the angle increases, the G-force also increases. This is because the steeper the slope, the faster the skier will accelerate and the greater the force acting on them.

5. Can G-force be dangerous for ski jumpers?

Yes, G-force can be dangerous for ski jumpers if it exceeds a certain level. The human body can tolerate up to 5 Gs, but anything above that can lead to serious injuries such as concussions, broken bones, and even death. This is why ski jumpers must train and prepare themselves to handle high G-forces during jumps.

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