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VashaNatasha [74]

3 years ago

8

the pendulum on a grandfather clock swings from side to side once every second. If the length of the pendulum is 3 feet and the

angle through which it swings is 10 degrees, how far does the tip of the pendulum travel in 1 second?

1 answer:

bogdanovich [222]3 years ago

3 0

Check the picture below

thus $\bf s=\cfrac{r\theta\pi }{180}\qquad 
\begin{cases}
s=\textit{arc's length}\\
r=radius\\
\theta=\textit{angle in degrees}\\
----------\\
r=3\\
\theta=10
\end{cases}\implies s=\cfrac{3\cdot 10\cdot \pi }{180}$

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See attachment for grid

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