Question

A pilot performs a vertical maneuver around a circle with a radius (r). When the airplane is at the lowest point of the circle, the pilot's weight is 4 m× g. What is the velocity of the plane at the lowest point?

Answer 1

To find the velocity of the plane at the lowest point of the circle, you can use the concept of centripetal acceleration. The velocity of the plane can be calculated using the equation v = √(9.8 m/s^2 * r), where v is the velocity and r is the radius of the circle.

Step-by-step explanation:

To find the velocity of the plane at the lowest point of the circle, we can use the concept of centripetal acceleration. The centripetal acceleration of an object moving in a circle is given by a = v^2 / r, where v is the velocity and r is the radius of the circle.

Given that the pilot's weight is 4 m× g at the lowest point, we can assume that the centripetal acceleration is equal to the acceleration due to gravity, which is 9.8 m/s^2.

Substituting the given values into the centripetal acceleration equation, we can solve for the velocity:

9.8 m/s^2 = v^2 / r

This equation can be rearranged to solve for v:

v = √(9.8 m/s^2 * r)

Therefore, the velocity of the plane at the lowest point is √(9.8 m/s^2 * r).