gravitational acceleration measurement and results from austria

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