Mathematics: 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?

The pendulum on a grandfather clock swings from side

Ответ:

zoeheskett

05.01.2022

Mathematics

We need to find the distance the tip of the pendulum travels in one second.

The tip of the pendulum travels 0.52 feet in 1 second.

The length of the pendulum is 3 feet which is the radius (r).

The angle of the swing is $10^{\circ}$ which is $\theta$ .

The time given is 1 second.

The distance the tip of the pendulum will travel in one second will be the arc length of the sector of the circle.

The formula to find arc length is

$s=\dfrac{r\theta\pi}{180}\\\Rightarrow s=\dfrac{3\times 10\times\pi}{180}\\\Rightarrow s=0.52\ \text{feet}$

The tip of the pendulum travels 0.52 feet in 1 second.

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The pendulum on a grandfather clock swings from side to side once every second. if the length of the

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Ответ:

maro1488

05.01.2022

Mathematics

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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Ответ:

RandomUser101

19.08.2021

Mathematics

(12a^-8b^3/3a^-4) (b^6)

= 4b^9/a^12

hope this helps.

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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?

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