Home
Class 11
PHYSICS
An aircraft executes a horizontal loop o...

An aircraft executes a horizontal loop of radius 1.00 knr with a steady speed of `900 km//h`. Compare its centripetal acceleration with the acceleration due to gravity.

Text Solution

Verified by Experts

We are given :
`r = l km = 10 ^(3) m`
`v = 900 km h ^(-1) = 900 xx (5)/( 18) = 250 ms ^(-1).`
We are to calculae: Centripetal acceleration.
Using relation : Centripetal acceleration `a _(c) = ( v ^(2))/(r)`
We get , ` a_(c) = (( 250) ^(2))/( 10 ^(3)) = 62. 5 m s ^(-2) .` Now, `(a _(c))/( g ) = ( 62. 5)/( 9. 8) = 6. 38.`
It shows that the centripetal acceleration of the aircraft is 6.38 times more than acceleration due to gravity.
Promotional Banner

Similar Questions

Explore conceptually related problems

An aircraft executes a horizontal loop at a speed of 720 km//h with its wings banked at 15^@ . What is the radius of the loop ?

If the earth suddenly shrinks to half of its present radius, the acceleration due to gravity will be

A particle executing circular motion of radius 5 m and linear speed of 3 ms^-1 which is increasing at the rate of 2 m s^-2 .What is the acceleration of the particle?

A ball is thrown up with a speed of 9.8 ms^-1 What the acceleration due to gravity at the top most point.

A rocket of initial mass 6000 kg ejects mass at a constant rate of 16 kgs^-1 with constant relative speed of 11 kms^-1 . What is the acceleration of the rocket a minute after the blast? (Neglect gravity).

A 100 kg gun fires a ball of 1 kg horizontally from a cliff of height 500 m. It falls on the ground at a distance of 400 m from the bottom of the cliff. Find the recoil velocity of the gun. (acceleration due to gravity = 10 ms^-2 )