Finding revolutions per minute

  • Thread starter chenying
  • Start date
  • #1
48
0

Homework Statement



An astronaut is rotated in a centrifuge of radius 4.0 m.

Homework Equations



v = omega * radius

a = v^2/radius


The Attempt at a Solution



Ok, so I first found the omega for this acceleration, which came out to be

omega = 3.56179 s^-1

then I decided that since the it is revolutions per minute, I multiplied the vaule of omega by 60 seconds, and divided the value by the circumference of the circle.

(2*pi*4)/210.107 = .119619

So this answer is completely wrong because it does not make any sense whatsoever
 

Answers and Replies

  • #2
30
0
You need to know more data to work out the rpm, knowing just the radius of the centrifuge is not enough.
 
  • #3
48
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This was all that was given to me.
 
  • #4
76
0
Omega = 2pi / Time, then you can get the time of one revolution
 
  • #5
30
0
Well rpm for a gven radius can infinetly many values. How did you work out the value of omega?
 
  • #6
48
0
I used a = V^2/r since i have acceleration and r

Once I got the value of V, i substitute it into v = omega * radius and solved for omega.
 
  • #7
76
0
You have forgotten to state the value of a in the question above.
 
  • #8
30
0
Oh ok, well then just use your value of omega in the formula anden gave you. That is the time for 1 revolution.
 
  • #9
48
0
You have forgotten to state the value of a in the question above.
Sorry, the acceleration is 5g
 

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