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Susan makes a simple pendulum by attaching a rock to a piece of string that is 24.6 centimeters long. Then she swings it back and forth. What is the period of her simple pendulum?

Respuesta :

The equation for period is T (period)=2[tex] \pi [/tex] [tex] \sqrt{ \frac{L (length of string)}{g (gravity)} [/tex]. Pluging in the length of the string in meters, .246, and 9.8 for gravity you come to the answer of 0.995 or about 1 second.

Answer:

0.99 s

Explanation:

The period of a simple pendulum is given by:

[tex]T=2 \pi \sqrt{\frac{L}{g}}[/tex]

where

L is the length of the pendulum

g is the acceleration due to gravity

In this problem, we have

[tex]L=24.6 cm=0.246 m[/tex]

[tex]g=9.81 m/s^2[/tex]

Substituting into the equation, we find the period:

[tex]T=2 \pi \sqrt{\frac{0.246 m}{9.81 m/s^2}}=0.99 s[/tex]

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