Answer :
Answer:
0.158 m/s
Explanation:
The centripetal acceleration of the equilateral points of the bubble is given by
[tex]a=\frac{v^2}{r}[/tex]
where
v is the tangential speed
r is the radius of the bubble
In this problem, we have:
[tex]a=8.5\cdot 10^{-2} m/s^2[/tex] is the centripetal acceleration
[tex]d=58.4 cm[/tex] is the diameter of the bubble, so the radius is
[tex]r=\frac{58.4 cm}{2}=29.2 cm=0.292 m[/tex]
Therefore, we can re-arrange the previous equation to find the tangential speed of the equilateral points:
[tex]v=\sqrt{ar}=\sqrt{(8.5\cdot 10^{-2} m/s^2)(0.292 m)}=0.158 m/s[/tex]