Question

An aircraft executes a horizontal loop of of radius $1\text{km}$ with a steady speed of $900{\text{kmh}}^{-1}.$ Its centripetal acceleration is

• A. $62.5{\text{m/s}}^2$
• B. $30{\text{m/s}}^2$
• C. $32.5{\text{m/s}}^2$
• D. $72.5{\text{m/s}}^2$

Answer 1

The correct option is A $62.5{\text{m/s}}^2$

Centripetal acceleration
$a_C=\frac{V^2}{R}$
$V=900\text{kmph}=900\times \frac{5}{18}=250{\text{ms}}^{-1}$
$R=1\text{km}={10}^3\text{m}.$

$\Rightarrow a_C=\frac{250\times 250}{1000}=62.5{\text{ms}}^{-2}$