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April 14th, 2011, 06:13 AM   #1
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circular motion (hard)

1.An astronaut is rotated in a horizontal centrifuge at a radius of 5.0m.

a)what is the astronaut's speed if the centripetal acceleration has a magnitude of 7.0g?
b)How many revolutions per minutes are required to produce his acceleration?
c)What is the period of the motion

2.A carnival merry-go around rotates around a vertical axis a constant rate.A passenger standing on the edge of the merry-go-round has a constant speed of 3.66 ms^-1.For each of the following instantaneous situations,state how far the passenger is from the centre of the merry-go-around and in which direction

a)the passenger has an acceleration of 1.83 ms^-2 ,east
b)the passenger has an acceleration of 1.83 ms^-2,south

Please show me the formula and solve the question step by step.if possible,can you show me a image about the question that can makes me understand better,Thank you.i really need help.
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April 14th, 2011, 08:54 AM   #2
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Re: circular motion (hard)

1.) r = 5.0 m

a) v|=\sqrt{r\cdot a_r}=\sqrt{\(5.0\text{ m}\)\(7\cdot9.81\text{ \frac{m}{s^2}}\)}\approx18.53\text{ \frac{m}{s}}" />

b)



c)

2.) There isn't enough information given. We need either the angular velocity (or the period), the radius of the merry-go-round, or the centripetal acceleration at the edge.
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