A pendulum swings through an angle of 30 and describes an arc 17.6 cm in length.
Find the length of pendulum.​

2 thoughts on “A pendulum swings through an angle of 30 and describes an arc 17.6 cm in length.<br />Find the length of pendulum.​”

1. Given

   • θ = 30°
   • Arc length = 17.6 cm

   To Find

   • Length of the pendulum

   Solution

   ☯ θ/360 × 2πr = arc length

   • Here in the given case, the value of θ is 30°

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   ✭ According to the Question :

   ➞ θ/360 × 2πr = arc length

   ➞ 30/360 × 2 × 22/7 × r = 17.6

   ➞ 1/12 × 2 × r = 17.6 × 7/22

   ➞ 1/6 × r = 5.6

   ➞ r = 5.6 × 6

   ➞ r = 33.6 cm

   ∴ The length of the pendulum is 33.6 cm

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2. Given :-

   A pendulum swings through an angle of 30 and describes an arc 17.6 cm in length.

   To Find :-

   Length of pendulum

   Solution :-

   At first

   We know that

   [tex]\sf Perimeter \; of \; circle = 2\pi r[/tex]

   [tex]\sf \dfrac{\theta}{360} \times 2\pi r[/tex]

   [tex]\sf \dfrac{30}{360} \times 2(3.14)r = 17.6[/tex]

   [tex]\sf\dfrac{1}{12} \times 6.28r = 17.6[/tex]

   [tex]\sf 6.28r = 12(17.6)[/tex]

   [tex]\sf r = \dfrac{211.2}{6.28}[/tex]

   [tex]\sf r = 33.6 cm[/tex]

   Reply