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

due to gravity? *

1 Answer

4 votes

Answer:

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

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