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In a certain observation we get l =23.2 ...

In a certain observation we get `l =23.2 cm,r=1.32cm` and time taken for 20 oscillations was 20.0 sec. Taking `pi^2=10,`find the value of g in proper significant figures.

Text Solution

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Equivalent length of pendulum `L = 23.2 cm + 1.32cm`
`=24.5 cm` (according addition rule of S.F)
And time period `T = (10.0)/(10) = 1.00` (Three significant )
get `g = 4pi^(2) (L)/(T^(2)) = 4 xx 10 (24.5cm)/((1.00)^(2)) (in 3S.F)`
`=4 xx 10 xx (24.5 xx 10^(-2)m)/(1.00)^(2)sec^(2) = 9.80 m//sec^(2)` .
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