(UCM) Maximum Rev. Per Minute Using Length and Acceleration

  • Thread starter oziemaster
  • Start date
  • #1

Homework Statement



An astronaut rotates at the end of a test machine whose arm has a length of 10m. If the acceleration she experiences must not exceed 5g (g = 10 ms^-2), what is the maximum number of revolutions per minute of the arm?


Homework Equations



T = (2πR)/v

V = (2πR)/T

Ac = V2/r


The Attempt at a Solution



Ac = v2/r

Plug in acceleration given and radius (from length of 10m): 10 = v2/5

5*10 = 50

50 = v2

v = 7.07107

T = 2π*5/7.07107

T = 4.44288 revolutions for 1g

Multiply 4.44288 by 5 = 22.2144 RPM?
 
Last edited:

Answers and Replies

  • #2
ehild
Homework Helper
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Hi Oziemaster,

Do you know what "g" is?

ehild
 

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