Angular acceleration of a computer disk

In summary, to find the average angular acceleration of a computer's hard disk in rad/s2, we can use the formula 2pi radians/second = 1 revolution per second to convert 5400 rpm to rad/sec. Then, we can use the given time and initial angular velocity to solve for the average angular acceleration.
  • #1
JSapit
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0

Homework Statement



During normal operation, a computer's hard disk spins at 5400 rpm. If it takes the hard disk 8.4 s to reach this angular velocity starting from rest, what is the average angular acceleration of the hard disk in rad/s2?

Homework Equations



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The Attempt at a Solution



I don't even know where to start. Physics is not my strong point, and I definitely do not like angular physics problems.
 
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  • #2
See your other topic where I just posted my generic rotational motion advice

With that in mind, remember that 2pi radians/second = 1 revolution per second so you can convert 5400 rpm to rad/sec

So similar to the other problem you have "distance", time, and initial "velocity"(ie angle traveled, time, and initial angular velocity)
 
  • #3


I can understand your frustration with angular physics problems. However, let me try to break down the problem for you.

Firstly, we need to define a few key terms. Angular acceleration is the rate of change of angular velocity, which is the rotational speed of an object. In this case, the object in question is a computer's hard disk.

Next, we need to understand the units involved in this problem. Rotational speed is measured in revolutions per minute (rpm), while angular acceleration is measured in radians per second squared (rad/s2). This means we will need to convert the given rotational speed of 5400 rpm into radians per second (rad/s).

To do this, we can use the conversion factor of 2π radians = 1 revolution. Therefore, 5400 rpm can be converted to 5400/60 = 90 revolutions per second. Multiplying this by 2π gives us the angular velocity in rad/s, which is approximately 565.48 rad/s.

Now, we can use the formula for average angular acceleration, which is given by:

average angular acceleration = (final angular velocity - initial angular velocity) / time taken

In this case, the final angular velocity is 565.48 rad/s (as we calculated above), the initial angular velocity is 0 (since the hard disk starts from rest), and the time taken is 8.4 seconds. Substituting these values into the formula, we get:

average angular acceleration = (565.48 rad/s - 0) / 8.4 s = 67.44 rad/s2

Therefore, the average angular acceleration of the hard disk is 67.44 rad/s2. I hope this explanation helps you understand the problem better. Remember, practice makes perfect, so keep working on your angular physics problems and you will become more comfortable with them.
 

Related to Angular acceleration of a computer disk

1. What is angular acceleration of a computer disk?

The angular acceleration of a computer disk refers to the rate at which the rotational speed of the disk changes over time. It is a measure of how quickly the disk is accelerating or decelerating in its rotational motion.

2. How is angular acceleration measured?

Angular acceleration is typically measured in radians per second squared (rad/s^2) or revolutions per second squared (rev/s^2). It can be calculated by dividing the change in angular velocity by the change in time.

3. What factors can affect the angular acceleration of a computer disk?

The angular acceleration of a computer disk can be affected by factors such as the mass and distribution of data on the disk, the strength and speed of the motor driving the disk, and the amount of friction or resistance within the disk's components.

4. How does angular acceleration impact the performance of a computer disk?

Angular acceleration can impact the performance of a computer disk by affecting the speed and efficiency of data access and transfer. A higher angular acceleration can result in faster data retrieval and processing, while a lower acceleration can cause slower performance.

5. How can angular acceleration be controlled or adjusted?

Angular acceleration can be controlled or adjusted by changing the design and components of the disk, such as the motor and bearings, to alter the forces and friction acting on the disk. It can also be controlled through the software that manages the disk's operation, such as adjusting the rotational speed or optimizing data placement.

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