Answer:
The angular frequencies of all the 3 pendulums shall be same.
Explanation:
The time period of a simple pendulum with the approximation [tex]sin(\theta )\approx \theta[/tex]is given by:
[tex]T=2\pi\sqrt{\frac{l}{g}}[/tex]
The angular frequency [tex]\omega [/tex] is given by
[tex]\omega =\frac{2\pi }{T}\\\\\omega =\frac{2\pi}{2\pi \sqrt{\frac{l}{g}}}\\\\\therefore \omega =\sqrt{\frac{g}{l}}[/tex]
As we can see that the angular frequency is independent on the initial angle (valid strictly for small angle approximations) we conclude that the angular frequencies of the 3 pendulums are the same.
