Answer:
Centripetal force, F = 18486.75 N
Explanation:
It is given that,
Mass of the sensor, m = 6 kg
It is attached at the end of 100 m long wind turbine, d = 100 m
So, the radius of the wind turbine, r = 50 m
Angular velocity, [tex]\omega=1.25\ rev/s=7.85\ rad/s[/tex]
The centripetal force is given by :
[tex]F=\dfrac{mv^2}{r}[/tex]
Since, [tex]v=r\omega[/tex]
[tex]F=mr\omega^2[/tex]
[tex]F=6\ kg\times 50\ m\times (7.85\ rad/s)^2[/tex]
F = 18486.75 N
So, the centripetal force is 18486.75 N. Hence, this is the required solution.