Question

Students in physics class are asked to find the relationship between the length of a pendulum (string with a weight at the bottom) and the time it takes for one pendulum swing. What is the dependent variable in this experiment?

Answer 1

Answer:

1)$Time \ for \ pendulum \ swing \ left \ and \ right = 2 \times \pi \times \sqrt{\dfrac{Length \ of \ the \ pendulum \ string}{g} }$

2) The dependent variable = The time it takes for one pendulum swing

3) The independent variable = The length of the pendulum string with weight at the bottom

Explanation:

The relationship between the length of the pendulum string and the time it takes for one pendulum swing is giving as follows;

$T = 2 \cdot \pi \cdot \sqrt{\dfrac{L}{g} }$

Where;

T = The period of oscillation = The time to complete one oscillation =Two swings of the pendulum

L = The length of the pendulum

g = The acceleration due to gravity

Therefore, the time it takes for one pendulum swing is directly proportional to the square root of the length of the pendulum

The dependent variable = The time it takes for one pendulum swing

Th independent variable = The length of the pendulum string with weight at the bottom.