Answer:
B) 3.50 m/s
Explanation:
The linear velocity in a circular motion is defined as:
[tex]v=\omega r(1)[/tex]
The angular frequency ([tex]\omega[/tex]) is defined as 2π times the frequency and r is the radius, that is, the distance from the center of the circular motion.
[tex]\omega=2\pi f(2)[/tex]
Replacing (2) in (1):
[tex]v=2\pi fr[/tex]
We have to convert the frequency to Hz:
[tex]7.18rpm*\frac{1Hz}{60rpm}=0.12Hz[/tex]
Finally, we calculate how fast is the child moving:
[tex]v=2\pi(0.12Hz)(4.65m)\\v=3.5\frac{m}{s}[/tex]
