Answer: 14.28 m/s
Explanation:
Assuming the girl is spinning with uniform circular motion, her centripetal acceleration [tex]a_{c}[/tex] is given by the following equation:
[tex]a_{c}=\frac{V^{2}}{r}[/tex] (1)
Where:
[tex]a_{c}=17 m/s^{2}[/tex] is the centripetal acceleration
[tex]V[/tex] is the tangential speed
[tex]r=12 m[/tex] is the radius of the circle
Isolating [tex]V[/tex] from (1):
[tex]V=\sqrt{a_{c}r}[/tex] (2)
[tex]V=\sqrt{(17 m/s^{2})(12 m)}[/tex]
Finally:
[tex]V=14.28 m/s[/tex] This is the girl's tangential speed
