The angular momentum vector of a precessing gyroscope sweeps out a cone as shown in the figure below. The angular speed of the tip of the angular momentum vector, called its precessional frequency, is given by = t/L, where is the magnitude of the torque on the gyroscope and L is the magnitude of its angular momentum. In the motion called precession of the equinoxes, the Earth's axis of rotation precesses about the perpendicular to its orbital plane with a period of 2.58 x 104 yr. Model the Earth as a uniform sphere and calculate the torque on the Earth that is causing this precession. wp=² N.m

The angular momentum vector of a precessing gyroscope sweeps out a cone as shown in the figure below. The angular speed of the tip of the angular momentum vector, called its precessional frequency, is given by = t/L, where is the magnitude of the torque on the gyroscope and L is the magnitude of its angular momentum. In the motion called precession of the equinoxes, the Earth's axis of rotation precesses about the perpendicular to its orbital plane with a period of 2.58 x 104 yr. Model the Earth as a uniform sphere and calculate the torque on the Earth that is causing this precession. wp=² N.m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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

The angular momentum vector of a precessing gyroscope sweeps out a cone as shown in the figure below. The angular speed of the tip of the angular momentum vector, called its precessional frequency, is given by $\omega_p = \frac{\tau}{L}$, where $\tau$ is the magnitude of the torque on the gyroscope and $L$ is the magnitude of its angular momentum. In the motion called precession of the equinoxes, the Earth’s axis of rotation processes about the perpendicular to its orbital plane with a period of $2.58 \times 10^{4}$ years. Model the Earth as a uniform sphere and calculate the torque on the Earth that is causing this precession.

**Diagram Explanation:**
The diagram shows a cone representing the path of the angular momentum vector ($L$) of a precessing gyroscope. Above the cone is an arrow indicating the direction of precession $\omega_p = \frac{\tau}{L}$. The vector $L$ is directed along the axis of the cone. The cone has a dashed line representing the axis along which the angular momentum vector precesses.

**Input Field:**
There is an empty input box labeled with $N \cdot m$ for entering the calculated torque.

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