Answer:
The final velocity [tex]\omega_f = 0.4235 \frac{rev}{s}[/tex]
Explanation:
Given data
Mass of merry go round [tex]M_m[/tex] = 120 kg
Radius = 1.8 m
Initial angular velocity [tex]\omega_i[/tex] = 0.6 [tex]\frac{rev}{sec}[/tex]
Mass of boy [tex]M_{boy}[/tex] = 25 kg
We know that the final velocity is given by
[tex]\omega_f = \frac{\frac{1}{2}M_m \omega_i }{M_{boy} + \frac{1}{2} M_m }[/tex]
Put all the values in above formula we get
[tex]\omega_f = \frac{\frac{1}{2}(120) 0.6}{25 + \frac{1}{2} (120) }[/tex]
[tex]\omega_f = 0.4235 \frac{rev}{s}[/tex]
This is the final velocity.
