30-Aug-2016: Finding a relationship between mass and period for an inertial balance

Relationship between mass & period

Purpose: Find relationship(equation) between T & m for inertial pendelum.

Apparatus: A Tray on metal rod was clamped on the table. A tape, which passes through the photogate to measure the period, is taped at the end of the tray. Measured the period, starting from 0 g and adding 100 g to the tray each time.

Theory: More mass makes longer period

Model Relationship
*T=A(m+mtray)^n

*Model : Power law equation

*Graph M vs T

mtray = 345 g

cc = 0.9998

A = e^-5.561 sec

n(slope) = 0.7391 sec/g

mtray = 295 g

cc = 0.9998

A = e^-5.106 sec

n(slope) = 0.6779 sec/g

*Values by using T=A(m+mtray)^n

Unknown objects:

*Calcutaion for mass of unknown objects

Golf ball:
T = 0.317 sec
m = 47.873 g
m = 46.357 g
Real weight = 45-46 g

Tennis ball:
T = 0.652 sec
m = 698.64 g
m = 639.50 g
Real weight = 58 g