4-sep-2016 Finding relationship between mass and period for an inertial balance

 
Purpose: Find the relation between the mass and periods for inertial for an inertial pendulum equation that predicts well.

Theory: Use the model to form an equation

Apparatus: What we did is at a piece of tape at the end of a metal tray. The tape passes through a detector to measure the period. We added 0 to 800 grams to the trays. We added 100 grams at a time.

This is the result we obtain from the trials. As you can see the more weight added resulted to an longer period.

Then we were given the power law equation: T=A(m=Mtray)^n. We took the natural log from each side to get an equation similar to y=mx+b. the equation is InT=nIn(m+Mtray)+InA

InT is the y

nLn is the slope

(m+Mtray) is the x

In A is the y intercept

Plunging in the numbers from the date table was able to form a data set.

From this date set we were able to plot a graph

We had to plug in numbers to figure out Mtray. To figure out if the number of  Mtray were right, the graph should have an straight line. The correlation had to be as close to 1 as possible. For example my team graphs were 0.9998. There was uncertainty with the mass because multiple numbers contain the correlation of 0.9998. So my group ends up have a range of 280 grams to 290 grams.

From that we have done so far we were able to form an equation: [T/A]^1/n-Mtray=m

We use two other objects to test out the equation

First was the phone

The period of the phone was 0.407 and the actual weight was 18g

Golf ball period was 0.324 and weigh 45g

By using the equation were able to find a weight but the masses were nowhere near the actual weight. The equation had the masses of the phone and golf ball very similar.

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