Equation B provides an approximation of Equation A, based on the small angle approximation This approximation...
Equation B provides an approximation of Equation A, based on the small angle approximation This approximation is said to be vaild for angles up to 30. Complete the table below to convince yourself of the quality of your experiment. Comment on your results Table 4: Quality of Approximation Initial Angle We define period of a the time required for a complete oscilation. Since the lrthe·ngle θ is small, less than 30, i. equation A the terms in sineandsmsarse mall that can be neglectied. This is known as the 'small angle approximation hen the period can be approximated as 1B) where L is the length of the string, and g is the acceleration of gravity.Squring hoth lesofthe equation .nd solving frL: From equation B we lean that the lengh'ofthe string proportional to teurr of iod. A graph of L versus To wll highlight the lincar relationship between the two variables ๒g the slope of this line, S- る.wg.mdetermine our measured valueofacceletim of wity, g Trial 1 Time Trial 2 Time Trial 3 Time Average Time Period Initial Ande Is) ls) ls 2.75 140 . 2.80s 3.32 1.36s 0.72s 3.00s 2.96s 0.99s