In a simple pendulum experiment for determina | vedclass

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Question

$\begin{array}{l}
T = \frac{{30\,\sec }}{{20}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\Delta T = \frac{1}{{20}}\sec ,\
\,\,\,\,\,\,\,L

Vedclass · Accepted Answer

$6.8$

Vedclass · Answer

$\begin{array}{l}
T = \frac{{30\,\sec }}{{20}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\Delta T = \frac{1}{{20}}\sec ,\
\,\,\,\,\,\,\,L = 55\,cm\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\Delta L = 1\,mm = 0.1\,cm\
\,\,\,\,\,\,\,g = \frac{{4{\pi ^2}L}}{{{T^2}}}\
\,\,\,\,\,\,\,\,percentage\,error\,in\,g\,is\
\,\,\,\,\,\,\,\,\,\frac{{\Delta g}}{g} 	imes 100 = \left( {\frac{{\Delta L}}{L} + \frac{{2\Delta T}}{T}} ight)100\% \
\,\,\,\,\,\,\,\,\,\,\, = \left( {\frac{{0.1}}{{5.5}} + 2\frac{{\left( {\frac{1}{{20}}} ight)}}{{\frac{{30}}{{20}}}}} ight)100\%  \simeq 6.8\% .
\end{array}$

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