The period, T, of a pendulum can be approximated by the formula ≈ 2𝜋√𝐿/𝑔, where L is the length of the pendulum and g is the gravitational constant. What is the approximate length of the pendulum if it has a period of 2 s? Note: On Earth the gravitational constant is 9.8 m/s2

Question

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Answer 1

We can use the formula for the period of the pendulum to find the approximate length of the pendulum.

The formula is given as:

T ≈ 2π√(L/g)

Here, T is the period of the pendulum, L is the length of the pendulum, and g is the gravitational constant.

Given that the period is 2 seconds and the gravitational constant is 9.8 m/s^2, we can plug these values into the formula and solve for L.

2 = 2π√(L/9.8)

Dividing both sides by 2π, we get:

1 = √(L/9.8)

Squaring both sides, we get:

1^2 = (L/9.8)

1 = L/9.8

L = 9.8

Therefore, the approximate length of the pendulum is 9.8 meters.