Not an actual hw problem, but it might as well be

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SUMMARY

The discussion centers on calculating the centripetal acceleration experienced at the edge of a 2.5-inch, 7200 RPM hard drive. Using the formula for centripetal acceleration, the user determined that with a radius of 0.03175 meters, the acceleration is approximately 18049.53 m/s², equating to about 1841.79 g. The calculations involved converting RPM to radians per second and applying the centripetal acceleration formula, confirming the accuracy of the approach taken.

PREREQUISITES
  • Understanding of centripetal acceleration formula: a = \frac{v^{2}}{r}
  • Knowledge of angular velocity conversion from RPM to radians per second
  • Familiarity with basic physics concepts related to rotational motion
  • Ability to perform unit conversions (e.g., inches to meters)
NEXT STEPS
  • Study the derivation and applications of centripetal acceleration in rotational dynamics
  • Learn about the physical properties and performance metrics of hard drives, specifically 7200 RPM drives
  • Explore the effects of rotational speed on mechanical stress in hard drive components
  • Investigate the relationship between RPM and data transfer rates in hard disk drives
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the performance characteristics of hard drives and rotational dynamics.

lampshade
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Homework Statement


Basically I bought a new 7200 rpm hard drive and I was curious about it since it is a 2.5 inch notebook hard drive. What I was wondering was how many g's were pulled at the edge of the disk while it spun at 7200 rpm

Homework Equations



[tex]\frac{v^{2}}{r}[/tex]

I'm just going to make up a number and say the radius is 1.25 inches on a 2.5 inch drive so let's say the radius of the spinning disk then is 0.03175 m

The Attempt at a Solution



so basically what I then did was
7200 rpm where 1 revolution is 2pi rad
7200*2pi rad is about 45238.9342 rad/min
divide by 60 to convert to seconds
753.982237 s^-1
then [tex]\omega^{2}*r[/tex] becomes my centripetal acceleration, right?

Therefore assuming a radius of .03175 the edge of the disk is feeling an acceleration of 753.982237^2 * 0.03175 = 18049.5325 m/s^2

which would be roughly 1841.78903 g?

ugh I'm embarrassed that I"m not confident about this answer. Does everything look good?
 
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Looks good to me.
 

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