SOLUTION: Suppose a figure skater spins through 3 revolutions in 1.2 seconds.
a. Find the angular velocity in radians per second and the liner velocity in feet per second at her shoulder
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-> SOLUTION: Suppose a figure skater spins through 3 revolutions in 1.2 seconds.
a. Find the angular velocity in radians per second and the liner velocity in feet per second at her shoulder
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Question 1071021: Suppose a figure skater spins through 3 revolutions in 1.2 seconds.
a. Find the angular velocity in radians per second and the liner velocity in feet per second at her shoulder which is 6 inches from her center.
b. Find the angular velocity in radians per second and the liner velocity in feet per second at her elbow which is 12 inches from her center. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! 3 revs per 1.2 seconds is 2.5 revs/second, and that is 5 pi radians/second, since there are 2 pi radians per revolution.
6 inches from the center has a circumference is 2pi*r=12 pi inches or pi feet.
2.5 pi*feet/second or 7.85 ft/sec.
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Same angular velocity in radians/sec for elbow or 5 pi
Now the circumference has doubled to 2 pi feet, so the speed is now 5 pi ft/sec=15.71 ft/sec.