Artificial Gravity: Washing Machine Drum (27 cm, 4.1 rev/s)

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SUMMARY

The discussion centers on calculating the artificial gravity experienced by clothes in a washing machine drum with a radius of 27 cm spinning at 4.1 revolutions per second (rev/s). The formula for radial acceleration, Ar = v²/r, is highlighted as essential for this calculation. Participants emphasize the need to convert the radius to meters and the angular velocity to linear velocity in meters per second. The final result must be expressed as a multiple of gravitational acceleration (g), where g is defined as 9.8 m/s².

PREREQUISITES
  • Understanding of radial acceleration and its formula (Ar = v²/r)
  • Ability to convert units from centimeters to meters
  • Knowledge of angular velocity and its conversion to linear velocity
  • Familiarity with gravitational acceleration (g = 9.8 m/s²)
NEXT STEPS
  • Learn how to convert angular velocity to linear velocity in physics
  • Study the concept of radial acceleration in circular motion
  • Explore examples of calculating forces in rotating systems
  • Investigate practical applications of artificial gravity in engineering
USEFUL FOR

Students in physics, engineers working on rotating machinery, and anyone interested in the principles of circular motion and artificial gravity.

cstout
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Homework Statement



If a washing machine's drum has a radius of 27 cm and spins at 4.1 rev/s, what is the strength of the artificial gravity to which the clothes are subjected? Express your answer as a multiple of g.

Homework Equations



Ar= v2/r

The Attempt at a Solution



I tried converting the radius to m and the rev/s to m/s but that didn't work, I'm not sure what else I could try to solve this problem.
 
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cstout said:

Homework Statement



If a washing machine's drum has a radius of 27 cm and spins at 4.1 rev/s, what is the strength of the artificial gravity to which the clothes are subjected? Express your answer as a multiple of g.

Homework Equations



Ar= v2/r

The Attempt at a Solution



I tried converting the radius to m and the rev/s to m/s but that didn't work, I'm not sure what else I could try to solve this problem.
If you did it this way, that is the correct way to get the radial acceleration, but then you must express it as a multiple of g, where g=9.8m/s^2. Please show your work; you might have made a math error, or misunderstood the 'g' thing.
 

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