Answer:
2.51 m/s
Explanation:
Formula for Centripetal Acceleration
a_{c} =\frac{v^{2} }{r}
where v= velocity of the girl swinging through a rope and
r=radius of the circle she is moving in ie. the length of the rope assuming its attached till the center of the tire of negligible dimension.
Given
[tex]a_{c} =3.0[/tex] m/[tex]s^{2}[/tex]
r=2.1 m
v=??(in m)
Plugging in the values
3 =\frac{v^{2} }{2.1}
[tex]v^{2}[/tex]=3 × 2.1
[tex]v^{2}[/tex]= 6.3
v=[tex]\sqrt{6.3}[/tex]
v=2.5099 m/s ≈ 2.51 m/s
