Calculating Rotational Speed for 2g Experience in a Rotating Machine

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SUMMARY

The discussion focuses on calculating the rotational speed required for a rotating machine with a radius of 6.25 m to create a centripetal force of 2g on a 75.8 kg astronaut. The relevant formula used is F = (m*v^2)/r, where F represents the centripetal force, m is the mass of the astronaut, v is the rotational speed, and r is the radius. It is confirmed that the mass of the machine is negligible for this calculation, and the force exerted is equated to 2mg, where g is the acceleration due to gravity.

PREREQUISITES
  • Understanding of centripetal force and its formula
  • Basic knowledge of physics concepts such as mass and gravitational force
  • Ability to manipulate algebraic equations
  • Familiarity with units of measurement in physics (e.g., meters, kilograms)
NEXT STEPS
  • Calculate the required rotational speed using the formula F = (m*v^2)/r with specific values
  • Explore the effects of varying radius on centripetal force
  • Research the implications of G-forces on human physiology
  • Investigate other applications of centripetal force in engineering and space exploration
USEFUL FOR

Aerospace engineers, physics students, and professionals involved in human factors research in high-G environments will benefit from this discussion.

jtizzleg
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Homework Statement


A NASA astronaut is placed in a rotating machine to see how well their bodies withstand G Force.
What rotational speed is needed in a device that has a 6.25 m radius to allow a 75.8 kg astronaut to experience a force that is twice his normal weight (or 2g)?

Homework Equations


Centripedal Force formula:
F = (m*v^2)/r

The Attempt at a Solution


I am wondering if that's the right equation, as it's the only equation I've found to use the radius of the machine, force, and mass given.
Just trying to confirm some things:
Do I assume the machine has no mass? No mass for the machine is given to be summed to the mass of the astronaut, so I assume that the only mass I calculate.

Do I multiply the mass by two? since I'm trying to find the speed needed for the machine to exert double his mass.

Also, is this even the right formula? Or did I get something wrong?

Edit: Scratch that second question, just figured that the Force would be the 2g, while the mass I'm assuming is his weight alone, unless I have to account for the machine's mass too.
 
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your formula is right. equate it with 2mg. the mass of the machine doesn't play any role.
 

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