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?

Question

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? (A) 3.2 (B) 6.4 (C) 1.8 (D) 7.9

Tardigrade Admin · Accepted Answer

textita=( textitv2/ textitr)=(2 5 02/1 0 0 0)= text62.5 m s- 2 , ( textita/ textitg)=(62 . 5/9 . 8)= text6.4

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?

$3.2$

$6.4$

$1.8$

$7.9$

$a = \frac{v ^{2}}{r} = \frac{25 0 ^{2}}{1000} = 62.5 m s^{- 2}$ ,
$\frac{a}{g} = \frac{62.5}{9.8} = 6.4$

Q. An aircraft executes a horizontal loop of the radius 1km with a steady speed of 900kmh−1 . Find the ratio of its centripetal acceleration with the acceleration due to gravity?

3.2

6.4

1.8

7.9