a) An anemometer for measuring the wind speed consists of three thin, hemispherical shells of mass Meach and three connecting rods of mass m as shown in Figure Q1a. If the mass moment of inertia of the thin hemispherical shell about its centre of mass, axis GG' is given by 2 Ma? 12 where a is the inner radius of the hemispherical shell. Find the mass moment of inertia of the anemometer about the axis AA'. Give your answer in terms of M, m, a and I. Consider the central rod as a thin rod. b) If the anemometer is rotating at 4 rev/sec. The system parameters are given as M=200g, m=90 g, a=40 mm and I=0.3 m find the rotational kinetic energy and angular momentum.

a) An anemometer for measuring the wind speed consists of three thin, hemispherical shells of mass Meach and three connecting rods of mass m as shown in Figure Q1a. If the mass moment of inertia of the thin hemispherical shell about its centre of mass, axis GG' is given by 2 Ma? 12 where a is the inner radius of the hemispherical shell. Find the mass moment of inertia of the anemometer about the axis AA'. Give your answer in terms of M, m, a and I. Consider the central rod as a thin rod. b) If the anemometer is rotating at 4 rev/sec. The system parameters are given as M=200g, m=90 g, a=40 mm and I=0.3 m find the rotational kinetic energy and angular momentum.

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

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

a) An anemometer for measuring the wind speed consists of three thin, hemispherical shells of
mass Meach and three connecting rods of mass mas shown in Figure Q1a. If the mass
moment of inertia of the thin hemispherical shell about its centre of mass, axis GG' is
given by
12
5
Ma?
where a is the inner radius of the hemispherical shell. Find the mass moment of inertia
of the anemometer about the axis AA'. Give your answer in terms of M, m, a and I.
Consider the central rod as a thin rod.
b)
If the anemometer is rotating at 4 rev/sec. The system parameters are given as M=200g,
m=90 g, a=40 mm and l=0.3m find the rotational kinetic energy and angular momentum.
A'
G

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