contestada

When being burned in a writable CD-R drive, the angular speed of a CD (diameter of 120 mm) is often much faster than when playing audio, but the angular speed still varies to keep the linear speed constant where the disc is being written. When wirting along the outer edge of the disc, the angular speed of one drive is about 4800 RPM. Find the linear speed.

Respuesta :

skyluke89

Answer:

30.1 m/s

Step-by-step explanation:

For a point in uniform circular motion, the relationship between angular speed and linear speed is given by

[tex]v=\omega r[/tex]

where

v is the linear speed

[tex]\omega[/tex] is the angular speed

r is the distance of the point from the axis of rotation

In this problem, we have:

[tex]\omega=4800 rpm[/tex] is the angular speed, in revolutions/minute

Converting into radians per second,

[tex]\omega=4800 \frac{rev}{min}\cdot \frac{2\pi rad/rev}{60 s/min}=502.4 rad/s[/tex]

The diameter of the CD is

d = 120 mm

So the radius is

r = 60 mm = 0.06 m

Therefore, a point at the outer edge of the disc has a distance of

r = 0.06 m from the axis.

Therefore, its linear speed is:

[tex]v=\omega r=(502.4)(0.06)=30.1 m/s[/tex]

Cetacea

Answer: Linear speed = 1809.55736847 m/min

Step-by-step explanation:

We will use the formula v = ωr

where

  • v = the linear speed =
  • ω = the angular speed = 4800 RPM = [tex]4800\cdot2\pi=9600\pi[/tex] radians/min.
  • r = the distance of the point from the axis of rotation = radius = [tex]\frac{120}{2}=60[/tex] mm = 0.06 m.

So, the linear speed is:

[tex]v=9600\pi\cdot0.06=1809.55736847[/tex] m/min.

Learn more: https://brainly.com/question/12049968

Otras preguntas