Question

What is approximately the centripetal acceleration (in units of acceleration due to gravity on earth, $g=10m/s^{-2}$) of an air-craft flying at a speed of $400m/s$ through a circular arc of radius $0.6km$ ?

• A. 26.7
• B. 16.9
• C. 13.5
• D. 30.2

Answer 1

Answer: (A)

Here, $v=400m{s}^{-1}$,
$r=0.6km=0.6\times 10^{3}m$,
$g=10m{s}^{-2}$
Centripetal acceleration,
$a_c=\frac{v^2}{r}$
$\frac{{\left(400m{s}^{-1}\right)}^2}{0.6\times 10^{3}m}$
$=26.7\times 10^{3}m{s}^{-2}$
In the units of $g(=10m{s}^{-2})$, the centripetal acceleration is $26.7$.