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A pendulum has a mass of 0.060 kg swinging at a small angle from a light string, with a period of 1.4 s. What is the length of the pendulum?

Respuesta :

Answer:

0.5 m

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 0.060 kg

Period (T) = 1.4 s

Lenght (L) =?

NOTE:

1. Acceleration due to gravity (g) = 10 m/s²

2. Pi (π) = 3.14

The length of the pendulum can be obtained as follow:

T = 2π√(L/g)

1.4 = 2 × 3.14 × √(L/10)

1.4 = 6.28 × √(L/10)

Divide both side by 6.28

1.4 / 6.28 = √(L/10)

Take the square of both side

(1.4 / 6.28)² = L/10

Cross multiply

L = 10 × (1.4 / 6.28)²

L = 0.5 m

Therefore, the length of the pendulum is 0.5 m

Answer:0.49

Explanation:

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