What is the magnitude of the tangential acceleration of a bug on the rim of a 13.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 79.0 rev/min in 3.80 s

Respuesta :

Answer:

The correct solution will be "12.48 in/s²".

Explanation:

The given values are:

Angular speed

= 79.0 rev/min

Time

= 3.80 seconds

Now,

⇒  [tex]Angular \ acc.=\frac{(\frac{79\times 2\times \pi}{60})}{3.8}[/tex]

                          [tex]=\frac{8.2}{3.8}[/tex]

                          [tex]=2.1 \ rad/s^2[/tex]

Tangential acceleration will be:

= [tex]Angular acc.\times radius[/tex]

= [tex]2.1\times 6.5\times 0.0254[/tex]

= [tex]0.3467 \ m/s^2[/tex]

= [tex]12.48 \ in/s^2[/tex]