An aircraft executes a horizontal loop of radius $1.00\; km$ with a steady speed of $900 \;km/h$. Compare its centripetal acceleration with the acceleration due to gravity.
An aircraft executes a horizontal loop of radius $1.00\; km$ with a steady speed of $900 \;km/h$. Compare its centripetal acceleration with the acceleration due to gravity.
Radius of the loop, $r=1 \,km =1000\, m$
Speed of the aircraft, $v=900\, km / h =900 \times \frac{5}{18}=250\, m / s$
Centripetal acceleration, $\quad a_{e}=\frac{v^{2}}{r}$
$=\frac{(250)^{2}}{1000}=62.5 \,m / s ^{2}$
Acceleration due to gravity, $g=9.8\, m / s ^{2}$
$\frac{a_{c}}{g}=\frac{62.5}{9.8}=6.38$
$a_{c}=6.38\, g$
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