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anonymous
 5 years ago
A building is being knocked down with a wrecking ball, which is a big metal sphere that swings on a 12mlong cable. You are (unwisely!) standing directly beneath the point from which the wrecking ball is hung when you notice that the ball has just been released and is swinging directly toward you. How much time do you have to move out of the way?
anonymous
 5 years ago
A building is being knocked down with a wrecking ball, which is a big metal sphere that swings on a 12mlong cable. You are (unwisely!) standing directly beneath the point from which the wrecking ball is hung when you notice that the ball has just been released and is swinging directly toward you. How much time do you have to move out of the way?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is that all the information you have?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i know that \[T= 2pi sqrt{m/k}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[T=2\pi \sqrt{m/k}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so, \[T = 2\pi \sqrt{L/g} \] where L = Lenght g = gravity

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0T period in seconds i mean?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes, because you know that gravity is in m/s^2 so, period will be measured in seconds. You know the cable is 12m long and gravity is 9.81 solve for T (period) \[2\pi \sqrt{12/9.81} = 6.94922\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok cool i got 6.95 as well

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but, The release through the first vertical point is ¼ of the total cycle, so you have ¼ of the period to get out of the way. \[6.95 * (1/4) = ?\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but that is in hertz correct?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0period is in seconds i believe

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ah ok. i ended up with 1.7 seconds

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0im still a little confused as to why we multiplied by 1/4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Period is the time that the ball takes to complete one cycle, as you are standing right beneath the ball (first vertical point) that is 1/4 of the cycle
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