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## 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

A

_{c}= V

^{2}/r

## The Attempt at a Solution

A

_{c}= v

^{2}/r

Plug in acceleration given and radius (from length of 10m): 10 = v

^{2}/5

5*10 = 50

50 = v

^{2}

v = 7.07107

T = 2π*5/7.07107

T = 4.44288 revolutions for 1g

Multiply 4.44288 by 5 = 22.2144 RPM?

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