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This Concept Map, created with IHMC CmapTools, has information related to: Gravity Lab, uncertainty in <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtext> π </mtext> </math>, T = 1.86335s thus <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> dT </mtext> <mrow> <mtext> 
 </mtext> <mfenced open="(" close=")"> <mfrac> <mtext> ∂g </mtext> <mrow> <mtext> ∂T </mtext> </mrow> </mfrac> </mfenced> <mtext> = -0.21357s </mtext> </mrow> </mrow> </math>, 99.96% of error to dg=±0.213645654, 0.00000000031685 ???? not significant, uncertainty in Length (L), <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtext> d </mtext> <mrow> <mtext> 
π </mtext> <mfenced open="(" close=")"> <mfrac> <mtext> ∂g </mtext> <mrow> <mtext> ∂ </mtext> <mtext> π </mtext> </mrow> </mfrac> </mfenced> </mrow> </math> calculated with dπ as half of the smallest sig. fig 0.0000000005 * 6.337, variables which are Time (T), Period (T) has uncertainty 0.005s from precision, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> dT </mtext> <mrow> <mtext> 
 </mtext> <mfenced open="(" close=")"> <mfrac> <mtext> ∂g </mtext> <mrow> <mtext> ∂T </mtext> </mrow> </mfrac> </mfenced> </mrow> </mrow> </math> has two values 0.02*-11.2454546, 0.02*-11.2454546 calculated using time from 5 periods <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mfrac> <mtext> ∂g </mtext> <mrow> <mtext> ∂T </mtext> </mrow> </mfrac> <mtext> =-2(4 </mtext> <mtext> π^2LT^-3) </mtext> </mrow> <mtext> </mtext> </math>, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mfrac> <mtext> ∂g </mtext> <mrow> <mtext> ∂T </mtext> </mrow> </mfrac> <mtext> =-2(4 </mtext> <mtext> π^2LT^-3) </mtext> </mrow> <mtext> </mtext> </math> where T = 1.8315s, Period (T) has uncertainty 0.001599s from random error, 0.0000000005 * 6.337 which results in 0.00000000031685, Time (T) measured in 5 periods with a stopwatch accurate to 0.01s 1.8315s, π looked up in the calculator accurate to 9 decimals 3.141592654, Period (T) has uncertainty 0.02s from human error, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> dT </mtext> <mrow> <mtext> 
 </mtext> <mfenced open="(" close=")"> <mfrac> <mtext> ∂g </mtext> <mrow> <mtext> ∂T </mtext> </mrow> </mfrac> </mfenced> <mtext> = -0.21357s </mtext> </mrow> </mrow> </math> which contributes 99.96% of error, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtext> dL </mtext> <mrow> <mtext> 
 </mtext> <mfenced open="(" close=")"> <mfrac> <mtext> ∂g </mtext> <mrow> <mtext> ∂L </mtext> </mrow> </mfrac> </mfenced> </mrow> </math> calculated with dL as half of the smallest gradation 0.0005*11.37, not significant as they contribute ɘ.04% of error, 0.00568514 ???? not significant