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One of the more challenging elements in pairs figure skating competition is the "death spiral" (see the figure below), in which the female figure skater, balanced on one skate, is spun in a circle by the male skater. i The axis of rotation of the pair is vertical and through the toe of the skate on the male skater's leg that is bent backward, the toe being planted into the ice. During the one-armed maneuver first developed in the 1940s, the outstretched arm of the male skater must apply a large force to support a significant fraction of the female skater's weight and also to provide her centripetal acceleration. This force represents a danger to the structure of the wrist of the male skater. (a) Modeling the female skater, of mass 47.0 kg, as a particle, and assuming that the combined length of the two outstretched arms is 129 cm and that arms make an angle of 45.0° with the horizontal, what is the magnitude of the force (in N) exerted by the male skater's wrist if each turn is completed in 2.00 s? Visualize the rotation of the skaters, and the force exerted by the male skater's arm. How does this force relate to the centripetal acceleration of the female skater? N (b) How does this force compare to that on one wrist of a 73.0 kg person preparing to do chin-ups by hanging from an exercise bar from the wrists? Fmale skater's wrist F one wrist of 73.0 kg person × Visualize a person doing chin ups. When hanging straight down, how much of the person's weight is supported by each wrist?

One of the more challenging elements in pairs figure skating competition is the "death spiral" (see the figure below), in which the female figure skater, balanced on one skate, is spun in a circle by the male skater. i The axis of rotation of the pair is vertical and through the toe of the skate on the male skater's leg that is bent backward, the toe being planted into the ice. During the one-armed maneuver first developed in the 1940s, the outstretched arm of the male skater must apply a large force to support a significant fraction of the female skater's weight and also to provide her centripetal acceleration. This force represents a danger to the structure of the wrist of the male skater. (a) Modeling the female skater, of mass 47.0 kg, as a particle, and assuming that the combined length of the two outstretched arms is 129 cm and that arms make an angle of 45.0° with the horizontal, what is the magnitude of the force (in N) exerted by the male skater's wrist if each turn is completed in 2.00 s? Visualize the rotation of the skaters, and the force exerted by the male skater's arm. How does this force relate to the centripetal acceleration of the female skater? N (b) How does this force compare to that on one wrist of a 73.0 kg person preparing to do chin-ups by hanging from an exercise bar from the wrists? Fmale skater's wrist F one wrist of 73.0 kg person × Visualize a person doing chin ups. When hanging straight down, how much of the person's weight is supported by each wrist?

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter11: Angular Momentum
Section: Chapter Questions
Problem 55P: A diver off the high board imparts an initial rotation with his body fully extended before going...
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One of the more challenging elements in pairs figure skating competition is the "death spiral" (see the figure below), in which the female figure skater, balanced on one skate, is spun in a circle by the male skater. i The axis of rotation of the pair is vertical and through the toe of the skate on the male skater's leg that is bent backward, the toe being planted into the ice. During the one-armed maneuver first developed in the 1940s, the outstretched arm of the male skater must apply a large force to support a significant fraction of the female skater's weight and also to provide her centripetal acceleration. This force represents a danger to the structure of the wrist of the male skater. (a) Modeling the female skater, of mass 47.0 kg, as a particle, and assuming that the combined length of the two outstretched arms is 129 cm and that arms make an angle of 45.0° with the horizontal, what is the magnitude of the force (in N) exerted by the male skater's wrist if each turn is completed in 2.00 s? Visualize the rotation of the skaters, and the force exerted by the male skater's arm. How does this force relate to the centripetal acceleration of the female skater? N (b) How does this force compare to that on one wrist of a 73.0 kg person preparing to do chin-ups by hanging from an exercise bar from the wrists? Fmale skater's wrist F one wrist of 73.0 kg person × Visualize a person doing chin ups. When hanging straight down, how much of the person's weight is supported by each wrist?
Transcribed Image Text:One of the more challenging elements in pairs figure skating competition is the "death spiral" (see the figure below), in which the female figure skater, balanced on one skate, is spun in a circle by the male skater. i The axis of rotation of the pair is vertical and through the toe of the skate on the male skater's leg that is bent backward, the toe being planted into the ice. During the one-armed maneuver first developed in the 1940s, the outstretched arm of the male skater must apply a large force to support a significant fraction of the female skater's weight and also to provide her centripetal acceleration. This force represents a danger to the structure of the wrist of the male skater. (a) Modeling the female skater, of mass 47.0 kg, as a particle, and assuming that the combined length of the two outstretched arms is 129 cm and that arms make an angle of 45.0° with the horizontal, what is the magnitude of the force (in N) exerted by the male skater's wrist if each turn is completed in 2.00 s? Visualize the rotation of the skaters, and the force exerted by the male skater's arm. How does this force relate to the centripetal acceleration of the female skater? N (b) How does this force compare to that on one wrist of a 73.0 kg person preparing to do chin-ups by hanging from an exercise bar from the wrists? Fmale skater's wrist F one wrist of 73.0 kg person × Visualize a person doing chin ups. When hanging straight down, how much of the person's weight is supported by each wrist?
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