A tire swing hanging from a branch reaches nearly to the ground. How could you estimate the height of the branch using only a stopwatch?

Respuesta :

Answer:

Explanation:

With the help of expression of  time period of pendulum we can calculate the height of the branch . The swinging tire can be considered equivalent to swinging bob of a pendulum . Here length of pendulum will be equal to height of branch .

Let it be h . Let the time period of swing of tire be T then from the formula of time period of pendulum

[tex]T = 2\pi\sqrt{\frac{l}{g} }[/tex]  where l is length of pendulum .

here l = h so

[tex]T = 2\pi\sqrt{\frac{h}{g} }[/tex]  

[tex]h = \frac{T^2g}{4\pi^2}[/tex]

If we calculate the time period of swing of tire , we can calculate the height of branch .

The time period of swing of tire can be estimated with the help of a stop watch . Time period is time that the tire will take in going from one extreme point to the other end and then coming back . We can easily estimate it with the help of stop watch .

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