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.
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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
Transcribed Image Text: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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