Respuesta :
The period of the pendulum will increase as length of pendulum is increased.
The time period literally means time taken by pendulum to complete one full oscillation. From the frequency of oscillation , moment of inertia M can be computed.
[tex]w=\sqrt{mgL/I}\\since , I= ML^{2} \\\\w=\sqrt{g/L}\\\\ \\T= \frac{2\pi }{w}[/tex]----------------------------------------(1)
now substituting the value of w in the equation 1.
[tex]T= 2\pi (\sqrt{\frac{L}{g} })[/tex]
From the equation its clear time period is directly proportional to length of pendulum and is independent of the mass of the pendulum.
-the longer the length, the farther the pendulum falls, therefore creating a longer period.
To learn more about period of the pendulum-
https://brainly.com/question/13146271
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