Let's begin with a simple circular-motion problem in which tension provides the necessary radial acceleration. Suppose you fly a propeller-driven model airplane on a 5.00 m string in a horizontal circle. The airplane, which has a mass of 0.500 kg, flies level and at constant speed and makes one revolution every 4.00 s. How hard must you pull on the string to keep the plane flying in a circle?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 12OQ
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Let's begin with a simple circular-motion problem in which tension provides
the necessary radial acceleration. Suppose you fly a propeller-driven model
airplane on a 5.00 m string in a horizontal circle. The airplane, which has a
mass of 0.500 kg, flies level and at constant speed and makes one
revolution every 4.00 s. How hard must you pull on the string to keep the
plane flying in a circle?
Transcribed Image Text:Let's begin with a simple circular-motion problem in which tension provides the necessary radial acceleration. Suppose you fly a propeller-driven model airplane on a 5.00 m string in a horizontal circle. The airplane, which has a mass of 0.500 kg, flies level and at constant speed and makes one revolution every 4.00 s. How hard must you pull on the string to keep the plane flying in a circle?
Suppose the string you are using is rated for no more than 70.0 N (approx
14 lb). How fast could you fly your model plane before the string breaks?
Express your answer with the appropriate units.
Vahue
%3D
Transcribed Image Text:Suppose the string you are using is rated for no more than 70.0 N (approx 14 lb). How fast could you fly your model plane before the string breaks? Express your answer with the appropriate units. Vahue %3D
Expert Solution
Step 1

Acceleration of an object performing uniform circular motion is called centripetal acceleration and is directed towards the center of the circular path. It is given by the formula v2r.
Thus the centripetal force on the object of mass m is given by mv2r, where r is the radius of the circular path.

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