Calculating Centripetal Acceleration of a 7200 RPM Hard Drive

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SUMMARY

The discussion focuses on calculating the centripetal acceleration of a hard drive spinning at 7200 RPM with a disk diameter of 3.51 cm. The radius is determined to be 0.01755 meters. The key equation used is ac = v²/r, where ac represents centripetal acceleration. Participants emphasize the need to convert RPM to linear velocity to apply this formula effectively.

PREREQUISITES
  • Understanding of centripetal acceleration and its formula (ac = v²/r)
  • Knowledge of converting RPM to linear velocity
  • Familiarity with the concept of circumference in circular motion
  • Basic skills in unit conversion (meters, centimeters)
NEXT STEPS
  • Learn how to convert RPM to linear velocity using the formula v = 2πr * (RPM/60)
  • Study the implications of centripetal acceleration in rotating systems
  • Explore the relationship between angular velocity and linear velocity
  • Investigate practical applications of centripetal acceleration in mechanical engineering
USEFUL FOR

Students in physics or engineering courses, mechanical engineers, and anyone interested in the dynamics of rotating systems.

goracheski
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Homework Statement


The hard drives of many desktop computers spin at a maximum rate of 7200 rpm. If the diameter of the spinning disk in the harddrive is 3.51 cm, calculate the magnitude of the centripetal acceleration on the outside radius of the disk.


Homework Equations


ac=v2/r


The Attempt at a Solution


r=0.01755 meters
but i don't know how to get the velocity from rpms
 
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hi goracheski! :smile:
goracheski said:
… i don't know how to get the velocity from rpms

one revolution = one circumference …

how long is a circumference? :wink:
 

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