Question

A CD has diameter of 110110 millimeters. When playing audio, the angular speed varies to keep the linear speed constant where the disc is being read. When reading along the outer edge of the disc, the angular speed is about 220220 RPM (revolutions per minute). Find the linear speed.

Answer 1

Answer: A CD has diameter of 110 millimeters. When playing audio, the angular speed varies to keep the linear speed constant where the disc is being read. When reading along the outer edge of the disc, the angular speed is about 220 RPM (revolutions per minute). Then, the linear speed of the disc will be 1.26 m/s.

Explanation: To find the answer we need to know about the uniform circular motion.

What is uniform circular motion?

• When a body moves in a circular path with a constant speed, it is said to be in uniform circular motion.
• The rate of change of angular displacement is called the angular velocity.
• Relation between angular velocity, linear velocity and the radius of revolution is given as,

                               $v=rw$

• The relation between angular velocity and the frequency of revolution can be written as,

                             $w=2\pi f$

How to solve the problem?

• Given that the diameter of the disc as 110mm.
• Thus, the radius of the disc will be 55 mm
• There are 220 revolutions per minute, thus the angular velocity w will be,

                           $w=2\pi f=2\pi *220 min^{-1}=1381.6 min^{-1}$

• As we know that,

                           $1mm=10^{-3}m\\1min=60s\\thus,\\w=\frac{1381.6}{60} =23.02 s^{-1}.$

• Thus, the linear speed will be,

                       $v=wr=23.02*55*10^{-3}=1.26 m/s$

Thus, we can conclude that the linear speed of the disc will be 1.26 m/s.

Learn more about uniform circular motion here:

https://brainly.com/question/28045082

#SPJ4

Disclaimer: The question was given wrong in the given portal. Here is the correct question.

Question: A CD has diameter of 110 millimeters. When playing audio, the angular speed varies to keep the linear speed constant where the disc is being read. When reading along the outer edge of the disc, the angular speed is about 220 RPM (revolutions per minute). Find the linear speed.