Question

A pendulum of length 14 cm oscillates through an angle of 18°. find the length of its path
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Answer 1

Answer:

The length of path of pendulum = 7π/5 ≈ 4.30 cm

Step-by-step explanation:

If we see the pendulum clearly then its motion forming the sector of circle where

Length of pendulum = Radius = r = 14 cm

Angle formed by arc on center of circle = Ф = 18° = 18π/180 = π/10 radians

length of path of pendulum = length of arc = L

We know by geometrical identity

                     Ф = L / r            where Ф is in radians

Putting values we get

                      L = (π/10)×14 = 14π/10 = 7π/5 ≈ 4.30

So the length of path of pendulum = 7π/5 ≈ 4.30 cm