A typical record album is 12in in diameter and plays at 33 1/3 revolutions per min. What is the angular speed of a record album?

Can someone show me how to do this?? I'm so lost!!

i aint got a clue

Yes, I can definitely help you with that!

To find the angular speed of a record album, we need to understand a few concepts:

1. Angular speed: Angular speed is defined as the rate at which an object rotates around an axis. It is measured in radians per second (rad/s).

2. Radians: Radians are a unit of measurement for angles. One full rotation (360 degrees) is equivalent to 2π radians.

Now, let's calculate the angular speed using the given information:

1. The record album plays at 33 1/3 revolutions per minute. To convert this to revolutions per second, we divide by 60 (since there are 60 seconds in a minute):
Angular speed in revolutions per second = 33 1/3 revolutions per minute / 60 = 0.55 revolutions per second

2. To convert the angular speed from revolutions per second to radians per second, we need to multiply by 2π (since one revolution is 2π radians):
Angular speed in radians per second = 0.55 revolutions per second * 2π radians per revolution ≈ 3.47 radians per second

So, the angular speed of the record album is approximately 3.47 radians per second.

I hope this explanation helps you understand how to calculate the angular speed of a record album! Let me know if you have any further questions.