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Q. An aircraft executes a horizontal loop of the radius $1 \, km$ with a steady speed of $900 \, km \, h^{- 1}$ . Find the ratio of its centripetal acceleration with the acceleration due to gravity?

NTA AbhyasNTA Abhyas 2020Laws of Motion

Solution:

$\textit{a}=\frac{\textit{v}^{2}}{\textit{r}}=\frac{2 5 0^{2}}{1 0 0 0}=\text{62.5 m s}^{- 2}$ ,
$\frac{\textit{a}}{\textit{g}}=\frac{62 . 5}{9 . 8}=\text{6.4}$