The Physics of Dance - University of Illinois High Energy Physics ...

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I " The Physics of Turns indicates how hard it is to start something spinning (just as mass is an indication of how hard it is to start something moving). ! ! ! ∆ L= τ∆t: if no torque is applied L must be constant. v ! v ! ! "! L = Iω ... if no " torque is applied: • Decreasing I will increase ω ! " • Increasing I will decrease ω ! 22
Calculating Rotational Inertia I " " • Greater mass → " greater I . (Doubling the mass doubles I .) • Mass placed " farther from rotation axis → v ! greater I . (Doubling " the distance quadruples I .) " • I = mr 2 (one mass) " • 2 2 I = mr + m r + # (several masses) 11 2 2 23
Page 1 and 2: The Physics of Dance George Gollin,
Page 3 and 4: How’d we get ourselves into this?
Page 5 and 6: Force changes momentum • The hard
Page 7 and 8: More Physics Vocabulary • Angular
Page 9 and 10: Still More Physics Vocabulary • C
Page 11 and 12: About torque... Torque changes angu
Page 13 and 14: Center of gravity Just like you'd t
Page 15 and 16: More complicated example v ! v ! Fo
Page 17 and 18: Staying Balanced Smaller floor cont
Page 19 and 20: Balance While Turning Not all posit
Page 21: Reminders: The Physics of Turns !
Page 25 and 26: " Increasing I Decreases Spin Rate
Page 27 and 28: The Physics of Jumps Gravitational
Page 29 and 30: The Physics of Jumps The equivalenc
Page 31 and 32: Gravitational acceleration... …is
Page 33 and 34: Trajectory in a Jump Height vs. tim
Page 35 and 36: Illusions in a Jump By raising his/
Page 37 and 38: Half the duration of the jump is sp
Page 39 and 40: With More Time... Time permitting,

The Physics of Dance - University of Illinois High Energy Physics ...

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