A hard drive disk rotates at 7200 rpm. The disk has a diameter of 5.1 in (13 cm). What is the speed of a point 6.0 cm from the center axle

Respuesta :

Answer:

The speed will be "3.4×10⁴ m/s²".

Explanation:

The given values are:

Angular speed,

w = 7200 rpm

i.e.,

  = [tex]7200 \times \frac{2 \pi}{60}[/tex]

  = [tex]753.6 \ rad/s[/tex]

Speed from the center,

r = 6.0 cm

As we know,

⇒  Linear speed, [tex]v=wr[/tex]

On putting the estimated values, we get

                               [tex]=753.6\times 0.06[/tex]

                               [tex]=45.216 \ m[/tex]

Now,

Acceleration on disk will be:

⇒  [tex]a=\frac{v^2}{r}[/tex]

       [tex]=34074 \ m/s^2[/tex]

       [tex]=3.4\times 10^4 \ m/s^2[/tex]