PLEASE TAKE YOUR TIME ANSWERING, LAST EXPERT DID NOT ANSWER THE PROBLEM CORRECTLY. As shown in the image, the axis of Earth makes a 23.5∘ angle with a direction perpendicular to the plane of Earth’s orbit. This axis precesses, making one complete rotation in 25,780 years. The Earth has a mass of 5.972×1024kg and a radius of 6.378×10^6m. a. Calculate the spin angular momentum of the Earth in units of kilogram meter squared per second. b. Calculate the magnitude of the change in angular momentum in units of kilogram meter squared per second in half this time. c. What is the average torque producing this change in angular momentum?

PLEASE TAKE YOUR TIME ANSWERING, LAST EXPERT DID NOT ANSWER THE PROBLEM CORRECTLY. As shown in the image, the axis of Earth makes a 23.5∘ angle with a direction perpendicular to the plane of Earth’s orbit. This axis precesses, making one complete rotation in 25,780 years. The Earth has a mass of 5.972×1024kg and a radius of 6.378×10^6m. a. Calculate the spin angular momentum of the Earth in units of kilogram meter squared per second. b. Calculate the magnitude of the change in angular momentum in units of kilogram meter squared per second in half this time. c. What is the average torque producing this change in angular momentum?

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

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 70P

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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

PLEASE TAKE YOUR TIME ANSWERING, LAST EXPERT DID NOT ANSWER THE PROBLEM CORRECTLY.

As shown in the image, the axis of Earth makes a 23.5∘ angle with a direction perpendicular to the plane of Earth’s orbit. This axis precesses, making one complete rotation in 25,780 years. The Earth has a mass of 5.972×1024kg and a radius of 6.378×10^6m.

a. Calculate the spin angular momentum of the Earth in units of kilogram meter squared per second.

b. Calculate the magnitude of the change in angular momentum in units of kilogram meter squared per second in half this time.

c. What is the average torque producing this change in angular momentum?

th a direction perpendicular to
years. The Earth has a mass of
A message from your instructor
Problem 10: You will determine L in
part (a). This corresponds to the L
vector in the image. to determine Delta
ram me, use trigonometry. notice that the the
shorl leg of one of the right triangles
has length 1/2 Delta L.
Close View Messages
S
AL
Ľ
23.5°
N
Plane of
earth's orbit
i

Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.

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