Question

An aircraft executes a horizontal circular loop of radius $2km$ with a speed of $900km/hr$. The centripetal acceleration is $x$ times the acceleration due to gravity. What is the value of $x$ if $g=10m/s^2$?

• A. 6.25
• B. 3.12
• C. 2.5
• D. 5

Answer 1

The correct option is B 3.12

Given, speed $=900km/hr=900\times \frac{5}{18}=250m/s$
Centripetal acceleration of aircraft, $a_c=\frac{v^2}{r}=\frac{(250{)}^2}{2000}=\frac{62500}{2000}=31.25m/s^2$
$\therefore x=\frac{a_c}{g}=\frac{31.25}{10}=3.12$