A plane with a wingspan of d=25.6m loses control in flight and begins to spiral in a circle around the cockpit while in a vertical dive. It completes one rotation every T=4.72s a. Write an expression for the speed of the tips of the wings relative to the central axis of the plane b. What is the speed in meters per second? c. What is the centripetal force, in newtons, experienced by a pilot with a mass of 100 kg who is 1.0 m above the axis of rotation

A plane with a wingspan of d=25.6m loses control in flight and begins to spiral in a circle around the cockpit while in a vertical dive. It completes one rotation every T=4.72s a. Write an expression for the speed of the tips of the wings relative to the central axis of the plane b. What is the speed in meters per second? c. What is the centripetal force, in newtons, experienced by a pilot with a mass of 100 kg who is 1.0 m above the axis of rotation

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 59PQ

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

A plane with a wingspan of d=25.6m loses control in flight and begins to spiral in a circle around the cockpit while in a vertical dive. It completes one rotation every T=4.72s

a. Write an expression for the speed of the tips of the wings relative to the central axis of the plane

b. What is the speed in meters per second?

c. What is the centripetal force, in newtons, experienced by a pilot with a mass of 100 kg who is 1.0 m above the axis of rotation

Definition Definition Force on a body along the radial direction. Centripetal force is responsible for the circular motion of a body. The magnitude of centripetal force is given by F C = m v 2 r m = mass of the body in the circular motion v = tangential velocity of the body r = radius of the circular path

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