April 14th, 2011, 06:13 AM  #1 
Senior Member Joined: Dec 2010 Posts: 233 Thanks: 0  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 merrygo around rotates around a vertical axis a constant rate.A passenger standing on the edge of the merrygoround 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 merrygoaround 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. 
April 14th, 2011, 08:54 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 522 Math Focus: Calculus/ODEs  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 merrygoround, or the centripetal acceleration at the edge. 

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