Compact disk angular acceleration

In summary, we are given the following information: a compact disc starts from rest and reaches 5200 rpms in 620 rad, with a diameter of 5.0cm. We are asked to find the number of revolutions made, the angular acceleration in rad/s^2, and the time it takes to reach this speed. Using the constant acceleration equations for angular velocity and displacement, we can calculate the angular acceleration and time it takes for the disc to reach this speed.
  • #1
jkhays
1
0

Homework Statement



A compact disc speeds from rest to 5200 rpms in 620 rad. Diameter is 5.0cm
-how many revolutions did it make in this time
-what is the angular acceleration in rad/s^2
-how long does ti take to reach this speed

Homework Equations


The Attempt at a Solution


i was able to find the first part by
620(180/π) = 35523 dividing that by 360 and getting 99 revolutions

for the last 2, i am completely lost to where i even begin solving them.thank you..
 
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  • #2
welcome to pf!

hi jkhays! welcome to pf! :smile:

you can use the usual constant acceleration equations, with angular acceleration velocity and displacement instead of ordinary (linear) acceleration velocity and displacement :wink:
 
  • #3
You know ω initial and ω final, and Δθ. You can solve for angular acceleration using one of the kinematics equations for constant acceleration. Once you have alpha you can solve for t.
 

1. What is compact disk angular acceleration?

Compact disk angular acceleration refers to the rate of change of the rotational velocity of a compact disk, which is a type of optical storage medium used for storing digital data. It is a measure of how quickly the disk is spinning.

2. How is compact disk angular acceleration measured?

Compact disk angular acceleration is typically measured in revolutions per second squared (rev/s²) or radians per second squared (rad/s²). It can be calculated by dividing the change in rotational velocity by the change in time.

3. What factors can affect compact disk angular acceleration?

The main factors that can affect compact disk angular acceleration include the mass of the disk, the force or torque applied to it, and any friction or air resistance acting on the disk. The shape and material of the disk can also play a role.

4. What is the importance of compact disk angular acceleration?

Compact disk angular acceleration is important in understanding the performance and durability of compact disks. It can also affect the accuracy of data read from the disk and can impact the lifespan of the disk itself.

5. How does compact disk angular acceleration relate to other forms of acceleration?

Compact disk angular acceleration is a type of rotational or circular acceleration, which is different from linear acceleration. However, it is related to linear acceleration through the concept of centripetal acceleration, which is the acceleration towards the center of a circular motion. In a rotating disk, centripetal acceleration and angular acceleration are directly proportional to each other.

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