### Carving on Skis | Understanding Turning Radius and Arc Length

#### What you will Learn in this Tutorial

This video discusses the concept of turn shape in skiing, emphasizing that it is more than just the radius of the skis. Jens explains that a long turning radius allows for faster skiing as it involves spending more time at the four lines and turning. On the other hand, a short turning radius results in a slower turn. The video also introduces the concept of arc length, stating that a long arc length leads to slower skiing as it involves skiing across the hill for a longer time, while a short arc length allows for faster skiing as the skier faces down the fall line at all times. The video concludes by promising to delve into achieving the perfect turn shape.

#### Highlights

• Turn shape in skiing involves more than just the radius of the skis.
• A long turning radius leads to faster skiing as more time is spent at the four lines and turning.
• The speed of the turn also depends on the edge angle and pressure.
• A turn is a parabola and not just a half circle.
• A turn with a short radius and high edge angle is slower.
• Arc length is crucial in determining the speed of skiing.
• A long arc length leads to slower skiing as the skier traverses across the hill for a longer time.
• A short arc length allows for faster skiing as the skier faces down the fall line.
• Achieving the perfect turn shape will be explored further in the video.