# Measurement and Graphing. Dependence of a Pendulum on length

• DracoMalfoy
In summary, the conversation discussed an experiment that involved determining the relationship between two quantities through linearization after collecting measurements. The experiment used a timer, string, meter stick, and Excel to construct a line of best fit. The focus was on finding the proportionality constant and verifying the relationship between P and L. The group also discussed sources of error and the importance of forming one's own ideas when new to a topic.
DracoMalfoy
For the experiment, we were to determine the relationship between two quantities through linearization after collecting measurements. To verify that P~L^1/2. and determine proportionality constant, C.

P=C√L/g= (Cg^-1/2)(L^1/2)

Materials used were a timer, string(The pendulum on length), and a meter stick. Excel was also used to construct a line of best fit for the data. The length of the Pendulum for six trials. For each trial, we measured 20 cycles in seconds and set average periods in seconds. What I am on now for my paper is sources of error. I'm not really sure what that means... This is all new for me.

When it’s new and you have no preconceived notions is the best time to try and form your own ideas. You just made a bunch of measurements and came up with an answer. How are you going to speculate on how accurate and precise that number is? Take a shot.

## What is measurement?

Measurement is the process of quantitatively determining the size, amount, or degree of something. In science, measurement is used to obtain precise and accurate data to support research and experiments.

## How is measurement performed in science?

Measurement in science is performed using various tools and techniques such as rulers, balances, thermometers, and sensors. These instruments are used to collect data and record precise measurements.

## What is a pendulum?

A pendulum is a weight suspended from a fixed point that can swing back and forth under the influence of gravity. It is commonly used in science to demonstrate the principles of energy conservation and harmonic motion.

## How does the length of a pendulum affect its motion?

The length of a pendulum affects its motion by determining its period, or the time it takes for one complete swing. The longer the pendulum, the longer the period, and the slower the swing. This is due to the relationship between the length of the pendulum and the force of gravity.

## How is the dependence of a pendulum on length represented graphically?

The dependence of a pendulum on length can be represented graphically by plotting the length of the pendulum on the x-axis and the period on the y-axis. This will result in a straight line with a positive slope, showing the direct relationship between the two variables. This graph is known as a linear graph.

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