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 440 m/s at this time, find the

radius of the loop.

Answer in units of km.

Question

Physics

Adam Hoover

10 August, 15:08

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 440 m/s at this time, find the

radius of the loop.

Answer in units of km.

+3

Answers (1)

Know the Answer?

Yesenia Zhang · Answer 1

20 km

Explanation:

Draw a free body diagram. Weightlessness means there's no normal force.

Sum of forces in the centripetal direction (-y):

∑F = ma

mg = m v² / r

g = v² / r

r = v² / g

r = (440 m/s) ² / (9.8 m/s²)

r = 20,000 m

r = 20 km

An aerobatic airplane pilot experiencesweightlessness as she passes over the top ofa loop-the-loop maneuver.The acceleration of gravity is 9.8 m/s^2If her speed is 440 m/s at this time, find theradius of the loop.Answer in units of km.

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 440 m/s at this time, find the

radius of the loop.

Answer in units of km.