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| Re: COAM and the role of hands Quote:
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| Re: COAM and the role of hands Quote:
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| Re: COAM and the role of hands Quote:
If you thrust the arms straight out from the origin of rotation, then I would add nothing and would only get the hands out quicker. If you thrust the hands in the same direction as you are spinning then you will actually slow the rotation down (arms move faster at the expense of the rest of the body slowing down because there is no friction for the arm action to act against). I will grant you that if you thrust your arms and there is friction that you would be able to increase the speed of the hands, but remember in a golf swing this would be at the cost of lead upper arm separation from the chest (if you think that is important) because you are using your shoulders to provide the additional power. Quote:
I have no idea where we are , but you brought us here so you get us out.![]() |
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| Re: COAM and the role of hands I think there is a misunderstanding of the principle of COAM as it pertains to the skater and the velocity of their hands. Once the rotation is started, the hands will be moving at the same velocity, whether they are extended or whether they are against the body. What changes is the speed of the rotation. Say for instance that, when extended, the skaters hands are moving at 6 meters per second and say the distance of one complete circular path of the hands is 6 meters (the circumference of the circle traced by the hands, when extended). This means the hands (and the skater) will make one revolution every second. Now if the skater pulls the hands in to a smaller circular path, say 3 meters in total length ((the circumference of the circle traced by the hands, when close to the body) and the hands are still moving at 6 meters per second, the hands (and the skater) will make two revolutions in one second. Revolving twice as fast, but the same hand speed. Momentum is defined as (mass x velocity). This is what is being conserved. IOW, the mass of the hands is constant, therefore the velocity must remain constant, in order to "conserve" momentum. |
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Angular momentum: L = rXp (r=radius, X=cross product and p=momentum) Linear momentum: p = m*v (m=mass and v=linear velocity) Angular velocity: w = v/r If you have two particles orbiting the same point and they both have identical mass and angular momentum, but one is twice as far from the point as the other, then: L1 = L2 r1*m*v1 = r2*m*v2 v1 = r2/r1*v2 assuming: r1 = 2*r2 v1 = v2/2 So the particle that is further out will have half the linear velocity as the particle that is closer. Looking at angular velocity: w2 = v2/r2 w1 = v1/r1 = v2/(2*r1) = v2/(4*r2) = w2/4 So the particle in close orbits 4 times for every one orbit of the other particle (or RPM is 4 times greater for the in close particle). Note that linear velocity is not conserved between the two orbiting particles. The area of the segment is conserved (assume one revolution of the far away particle). Particle 2 Area: A2 = pi*r2*r2 Particle 1 area: A1 = pi*r1*r1 = 4*pi*r2*r2 = 4*A2 So the circle area of one revolution of the far away particle is equal to 4 circle areas of the particle that is in close. Hope this clears it up. I probably should have had a disclaimer at the begining. ![]() |
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| Re: COAM and the role of hands Quote:
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| Re: COAM and the role of hands Quote:
take gravity for example, gravity may have a lot of numbers/equations, but I dont know those. what I do know is if I drop something it falls |
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| Re: COAM and the role of hands Quote:
when r2 equals 1/2 of r1, v2 should equal 2xr1. Apologies all around. |
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