Question

A pendulum has a period of 5.14s and a length of 0.25m. What is the acceleration

due to gravity? *

Answer 1

Acceleration due to gravity, g = 2.68m/s²

Step-by-step explanation:

Given the following data;

Period = 5.14s

Length = 0.25m

To find acceleration due to gravity, g;

`Period, T = 2 \pi \sqrt {lg}`

Substituting into the equation, we have;

`5.14 = 2*3.142 \sqrt {0.25g}`

`5.14 = 6.284 \sqrt {0.25g}`

`\frac {5.14}{6.284} = \sqrt {0.25g}`

`0.8180 = \sqrt {0.25g}`

Taking the square of both sides

`0.8180^(2) = 0.25g`

`0.6691 = 0.25*g`

`g = \frac {0.6691}{0.25}`

Acceleration due to gravity, g = 2.68m/s²