A plane's propeller can be modeled as a thin, uniform rod that rotates about its frictionless center axis, as shown in the diagram. We can also model the force from the plane engine as two applied torques, one on each side of the propeller, at the midpoints of each half. The force applied to each side of the propeller in 591 N, the propeller's mass is 10.1 kg, and the propeller's total length is 6.51 meters. a) What is the direction (clockwise or counterclockwise) and magnitude of the torque applied on the right and left sides of the propeller. b) To start the plane flying, the engine applies this constant force for 10 seconds, then shuts off. What will the final angular velocity of the propeller be after this 10 second period, assuming the propeller started from rest. c) While in the air, the plane flies through a thick dust storm and 2 kg of dust stick to the propeller in a uniform matter (such that that the propellers can still be modeled as a uniform rod). What is the new angular velocity of the propeller? Assume that the engine is not applying any force after the 10 second period in part b, and that once the plane has lifted off, its propeller continues rotating at the angular velocity in part b.

A plane's propeller can be modeled as a thin, uniform rod that rotates about its frictionless center axis, as shown in the diagram. We can also model the force from the plane engine as two applied torques, one on each side of the propeller, at the midpoints of each half. The force applied to each side of the propeller in 591 N, the propeller's mass is 10.1 kg, and the propeller's total length is 6.51 meters. a) What is the direction (clockwise or counterclockwise) and magnitude of the torque applied on the right and left sides of the propeller. b) To start the plane flying, the engine applies this constant force for 10 seconds, then shuts off. What will the final angular velocity of the propeller be after this 10 second period, assuming the propeller started from rest. c) While in the air, the plane flies through a thick dust storm and 2 kg of dust stick to the propeller in a uniform matter (such that that the propellers can still be modeled as a uniform rod). What is the new angular velocity of the propeller? Assume that the engine is not applying any force after the 10 second period in part b, and that once the plane has lifted off, its propeller continues rotating at the angular velocity in part b.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

Question

A plane's propeller can be modeled as a thin, uniform rod that rotates about its frictionless center
axis, as shown in the diagram. We can also model the force from the plane engine as two applied
torques, one on each side of the propeller, at the midpoints of each half. The force applied to each
side of the propeller in 591 N, the propeller's mass is 10.1 kg, and the propeller's total length is 6.51
meters.
a) What is the direction (clockwise or counterclockwise) and magnitude of the torque applied on the
right and left sides of the propeller.
b) To start the plane flying, the engine applies this constant force for 10 seconds, then shuts off.
What will the final angular velocity of the propeller be after this 10 second period, assuming the
propeller started from rest.
c) While in the air, the plane flies through a thick dust storm and 2 kg of dust stick to the propeller
in a uniform matter (such that that the propellers can still be modeled as a uniform rod). What is
the new angular velocity of the propeller? Assume that the engine is not applying any force after
the 10 second period in part b, and that once the plane has lifted off, its propeller continues
rotating at the angular velocity in part b.

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