Question

A pendulum of lengthi swings through an angle of 45 and describe an arc of length 15.4 cm find the value of i

Answer 1

Answer:

Value of i is 19.6 cm

Step-by-step explanation:

Given:

Length of the pendulum = i

Angle of swing, $\theta$ = 45°

Length of the arc = 15.4 cm

To find: Value of i

we use the formula of length of arc of circle,

$Length\:of\:arc=\frac{\theta}{360^{\circ}}\times2\pi r$

here, length of pendulum = radius

So,

$15.4=\frac{45^{\circ}}{360^{\circ}}\times2\times\frac{22}{7}\times i$

$15.4=\frac{1}{8}\times\frac{44}{7}\times i$

$15.4=\frac{11}{14}\times i$

$i=15.4\times\frac{14}{11}$

$i=19.6$

Therefore, Value of i is 19.6 cm