Question

A pendulum swings through an angle of 14° each second. If the pendulum is 14 cm in length and the complete swing from right to left last two seconds what area is covered by each complete swing?

Answer 1

Answer;

`\text{Area = 47.90 cm}^2`

Explanation;

Firstly, we need a diagrammatic representation to get what is described in the question.

We have this as follows;

Now, from what we have here, the total angle swept by the pendulum moving from left to right is 28 degrees

To get the area, we simply need to find the area of the sector formed by the by pendulum

Mathematically, we have the area of a sector calculated as follows;

`A\text{ = }(\theta)/(360)*\pi* R^2`

theta is the angle made by the pendulum in one complete swing which is 28 degrees

pi is 22/7

R is the length of the pendulum which is 14 cm

Substituting these values in the formula above, we have it that;

`\begin{gathered} A=(28)/(360)*(22)/(7)*14^2 \\ \\ A=47.90cm^2 \end{gathered}`