Chapter A.1, Problem 83E

Solution

How long is the period of a pendulum of length 10 ft?

3.476 seconds.

Given:

The time t (in seconds) that it takes for a pendulum to complete one cycle is approximately $t=1.1\sqrt{L}$ , where L is the length (in feet) of the pendulum.

Calculation:

Length of pendulum = L

Time it takes to complete one cycle = t

The pendulum to complete one cycle is approximately in t times, $t=1.1\sqrt{L}$

The period of a pendulum of length (L)10 ft

  $\begin{array}{l}t=1.1\sqrt{L}\\ t=1.1\sqrt{10}\\ t=1.1(3.16)\\ t=3.476\end{array}$

The time taken by pendulum of length 10 ft = 3.476 seconds