Calculating Centripetal Acceleration of a 7200 RPM Hard Drive

In summary, the centripetal acceleration of a 7200 RPM hard drive can be calculated using the formula a = (4π<sup>2</sup>r)/T<sup>2</sup>, where r is the radius of the hard drive and T is the time it takes to complete one revolution (1/RPM). It is measured in meters per second squared (m/s<sup>2</sup>) and can be affected by factors such as the radius, speed, and external forces acting on the hard drive. Centripetal acceleration is important in the functioning of a 7200 RPM hard drive as it helps to keep the data stable and prevents damage.
  • #1
goracheski
8
0

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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  • #2
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:
 

Related to Calculating Centripetal Acceleration of a 7200 RPM Hard Drive

1. How is centripetal acceleration calculated for a 7200 RPM hard drive?

The centripetal acceleration of a 7200 RPM hard drive can be calculated using the formula a = (4π2r)/T2, where r is the radius of the hard drive and T is the time it takes to complete one revolution (1/RPM).

2. What units are used to measure centripetal acceleration?

Centripetal acceleration is measured in meters per second squared (m/s2).

3. How does the speed of a 7200 RPM hard drive affect its centripetal acceleration?

The speed of a 7200 RPM hard drive does not directly affect its centripetal acceleration. However, a higher speed means the hard drive is completing more revolutions per minute, which can impact the time it takes to complete one revolution (T) in the centripetal acceleration formula.

4. What factors can affect the centripetal acceleration of a 7200 RPM hard drive?

The centripetal acceleration of a 7200 RPM hard drive can be affected by the radius of the hard drive, the speed at which it is rotating, and any external forces acting on the hard drive.

5. How is centripetal acceleration important in the functioning of a 7200 RPM hard drive?

Centripetal acceleration is important in the functioning of a 7200 RPM hard drive because it helps to keep the data on the hard drive stable and prevents it from becoming dislodged or damaged due to the high speeds and forces involved in the rotation of the hard drive.

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