Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Textbook Question
Chapter 6, Problem 30E
How much more light can the Keck telescope (with its 10-m diameter mirror) gather than an amateur telescope whose mirror is 25 cm (0.25 m) across?
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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
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ammeter
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Chapter 6 Solutions
Astronomy
Ch. 6 - What are the three basic components of a modern...Ch. 6 - Name the two spectral windows through which...Ch. 6 - List the largest-aperture single telescope...Ch. 6 - When astronomers discuss the apertures of their...Ch. 6 - The Hooker telescope at Palomar Observatory has a...Ch. 6 - What is meant by “reflecting” and “refracting”...Ch. 6 - Why are the largest visible-light telescopes in...Ch. 6 - Compare the eye, photographic film, and CCDs as...Ch. 6 - What is a charge-coupled device (CCD), and how is...Ch. 6 - Why is it difficult to observe at infrared...
Ch. 6 - Radio and radar observations are often made with...Ch. 6 - Look back at Figure 6.18 of Cygnus A and read its...Ch. 6 - Why do astronomers place telescopes in Earth’s...Ch. 6 - What was the problem with the Hubble Space...Ch. 6 - Describe the techniques radio astronomers use to...Ch. 6 - What kind of visible-light and infrared telescopes...Ch. 6 - Describe one visible-light or infrared telescope...Ch. 6 - What happens to the image produced by a lens if...Ch. 6 - What would be the properties of an ideal...Ch. 6 - Many decades ago, the astronomers on the staff of...Ch. 6 - The largest observatory complex in the world is on...Ch. 6 - Suppose you are looking for sites for a...Ch. 6 - Radio astronomy involves wavelengths much longer...Ch. 6 - The dean of a university located near the ocean...Ch. 6 - What is the area, in square meters, of a 10-m...Ch. 6 - Approximately 9000 stars are visible to the naked...Ch. 6 - Theoretically (that is, if seeing were not an...Ch. 6 - In broad daylight, the size of your pupil is...Ch. 6 - How much more light can be gathered by a telescope...Ch. 6 - How much more light can the Keck telescope (with...Ch. 6 - People are often bothered when they discover that...Ch. 6 - Telescopes can now be operated remotely from a...Ch. 6 - The HST cost about $1.7 billion for construction...Ch. 6 - How much more light can the James Webb Space...Ch. 6 - The Palomar telescope’s 5-m mirror weighs 14.5...
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