A CD has diameter of 130 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 240 RPM (revolutions per minute). Find the linear speed.
Round your answer to two decimal places.
The linear speed of reading along the outer edge of the disc is Number ${}^{-7}$ meters per second.

Step 1 ：Given that the diameter of the CD is 130 millimeters, we can calculate the radius as half of the diameter. So, the radius $r$ is $0.065$ meters.

Step 2 ：The angular speed is given as 240 RPM. We need to convert this to radians per second. There are 2π radians in one revolution and 60 seconds in one minute. So, the angular speed $\omega$ is approximately $25.13$ radians per second.

Step 3 ：The linear speed $v$ is the product of the radius and the angular speed. Using the formula $v=r\ast \omega$, we can calculate the linear speed.

Step 4 ：Substituting the values into the formula, we get $v=0.065\ast 25.13$, which gives us a linear speed of approximately $1.63$ meters per second.

Step 5 ：Final Answer: The linear speed of reading along the outer edge of the disc is $\boxed{{\displaystyle 1.63}}$ meters per second.