What is approximately the centripetal acceleration (in units of acceleration due to gravity on earth, `g=10ms^(-2)`) of an aircraft flying at a speed of `400ms^(-1)` through a circular arc of radius 0.6 km?

Options

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

Answer

a

Explanation

Here, `v=400ms^(-1)`
`r=0.6km=0.6xx10^(3)m`
`g=10ms^(-2)`
Centripetal acceleration,
`a_(c)=(V^(2))/r=((400ms^(-1))^(2))/(0.6xx10^(3)m)`
`=(16xx10^(4)m^(2)s^(-2))/(0.6xx10^(3)m)=(16xx10)/0.6ms^(-2)`
`=26.7xx10ms^(-2)`
In the units fo `g(=10ms^(-2))`, the centripetal acceleration is 26.7.