Answer

Verified

409.2k+ views

**Hint:**Now we know that the pendulum moves in a circular motion. Hence we can say that the angle is the angle of arc and the length of arc is the radius of the circular motion. Hence we are given with the angle and radius of the circular motion. Now we know that the formula for length of an arc with a given angle and radius is given by $2\pi r\times \dfrac{\theta }{360}$ . Hence we have the length of the required arc.

**Complete step by step answer:**

Now let us consider the pendulum.

We know that the motion of a pendulum is somewhat circular hence we can say that the extremity of the pendulum will make a circular arc.

Now we are given that the angle of the circular arc will be ${{18}^{\circ }}$ and the radius of the arc is 14cm.

Now we know that the circumference of the arc is given by $2\pi r\times \dfrac{\theta }{360}$ where $\theta $ is the angle made by the arc and r is the radius.

Now we have the radius is 14cm and the angle is ${{18}^{\circ }}$ .

Now substituting the values of angle and radius we get,

The length of arc is

$\begin{align}

& \Rightarrow l=2\pi \left( 14 \right)\times \dfrac{18}{360} \\

& \Rightarrow l=28\pi \dfrac{1}{20} \\

& \Rightarrow l=\dfrac{28\pi }{20} \\

\end{align}$

Hence the length of the arc is $\dfrac{28\pi }{20}$ .

**Note:**Now note that if the angle is in radians then the length of arc is given by angle × radius. Hence if the angle is given by degree then we can convert the angle into radians and then multiply the angle with radius. Hence we will have the length of the arc.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

Which are the Top 10 Largest Countries of the World?

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths