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phredbo
- 9
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any one know the formula for an ice skater in an increasing spin
Shooting star said:The formula, or the idea, which the OP perhaps wanted is the conservation of angular momentum. The initial ang mom =I1w1=final ang mom=I2w2.
As Jeff has said, a lot parameters have to be known for the actual calculation. But, as you must have noticed, if you pull in your arms and/or a leg, then I decreases, resulting in an increase of w, which means you are spinning faster. And vice versa.
The Ice Skater's Formula is a mathematical equation that explains the relationship between the moment of inertia, angular velocity, and angular momentum of an ice skater as they increase their spin.
An ice skater can increase their spin by pulling their arms and legs closer to their body, which decreases their moment of inertia, and thus increases their angular velocity and angular momentum.
The Ice Skater's Formula is derived from the principle of conservation of angular momentum, which states that the total angular momentum of a system remains constant unless an external torque acts on it.
Understanding the Ice Skater's Formula can help us better understand the principles of angular momentum and rotational motion, which have important applications in fields such as physics, engineering, and sports.
While the Ice Skater's Formula is a useful tool for understanding the mechanics of an ice skater's spin, it does not take into account external factors such as air resistance and friction, which can affect the skater's actual spin in real-life situations.