An aerobatic airplane pilot experiences weightlessness as she passes over the top of a loop-the-loop maneuver. the acceleration

Question

Mandarinka [93]

3 years ago

5

An aerobatic airplane pilot experiences weightlessness as she passes over the top of a loop-the-loop maneuver. the acceleration

of gravity is 9.8 m/s 2 . if her speed is 430 m/s at this time, find the radius of the loop. answer in units of km.

Physics

1 answer:

Yanka [14] · Answer 1 · 2022-04-21T11:12:38+03:00

The acceleration due to gravity serves as the centripetal acceleration of the objects that orbits the Earth. The centripetal acceleration due to gravity is calculated through the equation,

a = v²/r

where v is the speed and r is the radius. Substituting the known values to the equation,

9.8 m/s² = (420 m/s)² / r

The value of r from the equation is 18000 m or equal to 18 km.

<em>Answer: 18 km</em>