gravitational acceleration measurement and results from austria
TRANSCRIPT
GRAVITATIONAL ACCELERATION
Measurement and results from Austria
GRAVITATIONAL ACCELERATION
Gravity of Earth g depends on the geometrical shape of the Earth the distribution of masses the geographical latitude the altitude relative to sea level the air resistance (which usually is ignored)
GRAVITATIONAL ACCELERATION
Values for Graz:• the geographical latitude: latitude: 47,070714°• the altitude relative to sea level: 353 m• Value of g: g = 9.8070 m/s²
http://www.oebv.at/sixcms/media.php/229/13_Newtons_Gravitationsgesetz_Kompetenzen.pdf
EXPERIMENTAL SETUP
Equipment: a rather long and thin rod with a massive weight (rod is much more important than the weight)
Measurement: lenght l and oszillation period T of the pendulum between 40 to 200 times
Calculation:
THE RESULTS
These are the best results we figured out, it`s pretty close to the real number of 9,8070 m/s².
Number of measurement: 1 2 3 4 5 6 7 8 9 10
length of the pendulum l [m] 1,33 1,33 1,33 1,415 1,415 1,415 1,415 1,415 1,34 1,03
Number of oszillations N 50 100 200 100 40 100 100 100 20 20
t time for N oszillations [s] 115,7 231,39 462,79 238,55 95,53 238,69 238,6 238,84 46,425 40,74
Time of 1 period T [s]; T = t/N 2,314 2,3139 2,314 2,3855 2,3883 2,3869 2,386 2,3884 2,3213 2,037
acceleration due to gravity g = 4 π^2 l / T^2 [m/s^2] 9,8058 9,8067 9,8063 9,8165 9,7939 9,8050 9,8124 9,7927 9,8179 9,7997