Why do ice skaters bend at an angle when taking a turn at high speed?

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Discussion Overview

The discussion centers on the mechanics of ice skaters leaning at an angle while taking high-speed turns. Participants explore the physical principles behind this behavior, comparing it to similar phenomena in motorcycling and analyzing the forces at play during the maneuver.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants suggest that the leaning of ice skaters is similar to the gyroscopic effect seen in motorcyclists, necessary to counteract inertia that would otherwise keep them moving straight.
  • Others question the applicability of gyroscopic effects, proposing that the primary reason for leaning is to counteract the outward force experienced during a turn due to inertia.
  • One participant presents a mathematical expression for the lean angle, indicating that it relates to the balance of torques from centripetal force and gravity, suggesting that leaning is essential for maintaining circular motion without net torque.
  • Another participant emphasizes that the force required for circular motion is applied at the skater's base rather than their center of mass, leading to the necessity of leaning to prevent spinning outwards.

Areas of Agreement / Disagreement

Participants express differing views on the role of gyroscopic effects in the leaning of ice skaters, with some asserting its relevance while others argue against it. The discussion remains unresolved regarding the complete understanding of the forces and torques involved.

Contextual Notes

There are limitations in the analysis, including assumptions about the forces acting on the skater and the definitions of terms like "lean angle" and "torque." The discussion does not resolve the mathematical steps involved in calculating the lean angle.

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Why do ice skaters bend at an angle when taking a turn at high speed?
I saw some pictures of ice skaters leaning while taking turn...in case of motorcyclists it is due to gyro effect but what in this case?
 
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It is essentially the same effect. It is necessary to counteract inertia, which would tend to keep them going straight.
 
is there any analysis of this effect (as that of gyro there exists based on angular momentum, active reactive couple) ?
Why they would lean? Inertia would still throw them forward while turning theorotically!
 
Intertia "throws" them toward the outside of the curve.
 
Leaning is done so that the outwards roll torque related to centrepital force is countered by an inwards roll torque related to gravity.

Lean angle (from vertical) θ = tan-1(v2 / (g r) ).

This is unrelated to any gyroscopic effect. You could replace the wheels and tires of a bicycle with rounded skate bladed and be able to glide and steer on ice conventionally, without any gyroscopic effects.
 
Last edited:
Force required for circular motion should be applied on the centre of mass, but for an ice skater it is applied at their base. To avoid spinning outwards they lean in. The effect of this is to move your centre of mass away from vertical with the point of contact with the floor, which provides an opposing torque (the reaction force from the floor no longer coincides with your centre of mass).

If you get the angle right you have circular motion and no net torque.

(Basically what rcgldr said but wordier).
 

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