Question

General Physics Data Sheet Diameter of bob31m Radius of boba--..no Length of m Number of Pendulem I m) Vibrations Length of Total Time()Period Ts) Squareof Strine () Period T 83 1 12.44 4 LS Slope of graph =- Acceleration Due to Gravity (m/s) %Error Standard

how would I figure out the slope of the graph, standard acceleration, experimental, and percent error? also how would I graph this?

Answer 1

Drew a graph between $T^2$ (y axis) and (x axis)

slope of the graph

$gradient=m=tan\theta=dy/dx=\Delta y/\Delta x=slope$

$gradient=\frac{y_2-y_1}{x_2-x_1}$

standard acceleration

as we know

$T=2\pi \sqrt{\frac{L}{g}}$

$T^2=4\pi ^2{\frac{L}{g}}$

$g=4\pi ^2{\frac{L}{T^2}}$

experimental acceleration

it is the slope of the graph

percent error

$\frac{ExperimentalValue-Theoretical Value}{Theoretical value}\times 100$    %

here theoretical value of g is