Finding a relationship Between Mass and Period For an Inertial Balance

Title:Finding a relationship Between Mass and Period For an Inertial Balance
Name: Alexander Reyes
Lab Partners:Mike, and Mike
Date Lab Performed:8/29/16

Purpose: The main purpose is to find a relationship between period and mass  for inertial pendulum.

Theory/Introduction: T= A(Mass + Mtray)^n
Three values had to be obtained from the formula: A, Mtray and n


Apparatus: Metal tray that was clamped on the table and had a piece of tape at the end of it in order to pass and measure the period on the photogate. Masses of 0 to 800 grams were added to the tray and periods were recorded.




Data Table: 0 to 800 grams were placed on the balance and periods were determined by using LabPro. All the data was recorded below.


Graph & Data For Minimum Mtray Mass: The minimum mass for Mtray was at 280g with a correlation of .9998. Found A=.007804 sec and n=.6425 sec/g




Graph & Data for Maximum Mtray Mass: The Maximum Mtray mass for Mtray was 290g with a correlation of .9998. Found A=.007204 sec and n=.6533 sec/g




Extension Calculations: Measured the mass of a phone (189g),  and its period of (.407 sec.)
Measure the mass of a golf ball (45g), and its period (.324). After inputing the calculated values into the formula the inertial mass and the gravitational masses for the phone were almost similar. Where as for the inertial masses and the gravitational masses for the golf ball were slightly off from each other. Calculations below.





Conclusion: An inertial apparatus balance was set up in order to find the periods of 0 to 800 grams. Soon after, three unknown values from the Power-Law equation needed to be obtained. Those three unknown values were found by plotting a lnT vs ln(m+Mtray) graph. A linear fit line with a correlation coefficient of .9998 or .9999 would help us determine which equation was suitable for use. The Relationship found between mass and period would be, the more mass the larger the period.