How Do You Calculate the Average Rotational Speed of a CD in Radians per Second?

AI Thread Summary
To calculate the average rotational speed of a CD in radians per second, first convert the time from minutes to seconds, resulting in 300 seconds for 1500 revolutions. The average speed in revolutions per second is 5 rev/s. Each revolution corresponds to 2π radians, so the conversion to radians per second involves multiplying the revolutions per second by 2π. This results in an average rotational speed of approximately 31.4 rad/s. The calculations confirm the correct application of the formulas for rotational speed.
crybllrd
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Homework Statement


If a CD makes 1500 revolutions in 5 minutes, what is the CD's average rotational speed (in units of rad/s)

Homework Equations



\omega = \frac{\Delta\theta}{\Delta t}

-or-

\omega = \frac{2\pi}{\Delta t}

The Attempt at a Solution



This problem seems a little too simple (and I didn't use the given equation), so I want to make sure I did it right:

(5min)(60s/min)=300 seconds in 5 minutes

\frac{1500rev}{300s}=5rev/s
 
Last edited:
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crybllrd said:

The Attempt at a Solution



This problem seems a little too simple (and I didn't use the given equation), so I want to make sure I did it right:

(5min)(60s/min)=300 seconds in 5 minutes

\frac{1500rev}{300s}=5rev/s

You didn't answer the question; how many radians are there in one revolution?
 
tvavanasd said:
...how many radians are there in one revolution?

\frac{300s}{1500rev}=.2s/rev

\frac{2\pi}{.2}=31.4rad
 
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