Question

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?

Answer 1

Step-by-step 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

`T = 2\pi\sqrt{(l)/(g) }` where l is length of pendulum .

here l = h so

`T = 2\pi\sqrt{(h)/(g) }`

`h = (T^2g)/(4\pi^2)`

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 .