What is the fractional error in g calculated from T=2 π √g ? Given fraction errors in T and are ± x and ± y respectively.

Question

What is the fractional error in g calculated from T=2 π √g ? Given fraction errors in T and are ± x and ± y respectively. (A) x + y (B) x - y (C) 2x + y (D) 2x - y

Tardigrade Admin · Accepted Answer

From T=2 √( /g); g=4 2 ( /T2) (g/g)=( / )+(2 T/T)=(y +2x)

Q. What is the fractional error in $g$ calculated from $T = 2 π g ?$ Given fraction errors in $T$ and are $\pm x$ and $\pm y$ respectively.

x + y

x - y

2x + y

2x - y

From $T = 2 g; g = 4^{2} T ^{2}$
$\frac{g}{g} = + \frac{2 T}{T} = (y + 2 x)$

Q. What is the fractional error in g calculated from T=2πg​? Given fraction errors in T and are ±x and ±y respectively.