COUR HERo22
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Astronomy
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Dec 6, 2023
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When Eratosthenes determined the radius of earth, we used the fact that the distance
from Alexandria to Syene was 5000 stadia. Suppose his assistant had measured this
distance to be 2500 stadia. In that case, his estimate of the Earth's radius would have
been
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Eratosthenes estimated the Earth's radius using the angle of the Sun's rays at two
different locations (Alexandria and Syene, now Aswan) and the distance between them.
He calculated the Earth's radius as follows:
Earth's Radius (R) = Distance between Alexandria and Syene (D) / Angle between the
Sun's rays at the two locations (θ)
If Eratosthenes' assistant had measured the distance between Alexandria and Syene to
be 2500 stadia instead of 5000 stadia, the estimated Earth's radius would have been
half of the original calculation:
New Earth's Radius = 2500 stadia / θ
So, the new estimate of the Earth's radius would be half of the original estimate.
You
One reason for Galileo to believe the Copernican view was because he saw
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One of the reasons Galileo Galilei supported the heliocentric or Copernican view of the
solar system was due to his observations of the phases of Venus. He observed that
Venus goes through a series of phases similar to the Moon's phases, including crescent,
half, and gibbous phases. These observations provided strong evidence for the
heliocentric model proposed by Nicolaus Copernicus, which stated that the planets,
including Venus, orbit the Sun.
The phases of Venus could only be explained if Venus were orbiting the Sun and not the
Earth. In the geocentric model, where all celestial objects revolved around the Earth, it
would be impossible to observe the full range of Venus's phases. Galileo's observations
of the phases of Venus provided a direct and observable contradiction to the geocentric
model, and this played a crucial role in his support for the heliocentric model.
You
One reason for Galileo to believe the Copernican view was because he saw Question 35
options: the phases of Venus the rings of Uranus the craters on Mercury the moons of
Saturn
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One reason for Galileo to believe the Copernican view was because he saw "the phases
of Venus." Galileo's observations of the changing phases of Venus were a crucial piece
of evidence that supported the heliocentric model proposed by Nicolaus Copernicus, as
it demonstrated that Venus orbits the Sun and not the Earth.
You
With his telescope Galileo was able to notice
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With his telescope, Galileo was able to make several groundbreaking observations,
including:
1.
The Moons of Jupiter:
Galileo discovered the four largest moons of Jupiter, now
known as the Galilean moons: Io, Europa, Ganymede, and Callisto. This
observation provided evidence against the geocentric model, as it showed that
celestial objects could orbit a planet other than Earth.
2.
Phases of Venus:
Galileo observed the changing phases of Venus, which
demonstrated that Venus orbited the Sun, supporting the heliocentric model of
the solar system.
3.
Mountains and Craters on the Moon:
Galileo observed and documented the
rugged terrain of the Moon, including mountains and craters, which challenged
the idea of a perfectly smooth celestial body.
4.
Sunspots:
Galileo observed sunspots on the Sun's surface, providing evidence
that the Sun was not a perfect, unchanging celestial body.
5.
The Milky Way:
He recognized that the Milky Way was composed of numerous
individual stars and not just a diffuse cloud.
6.
Stellar Positions and the Stars of the Pleiades:
Galileo made precise
measurements of the positions of stars and observed the stars of the Pleiades
star cluster.
These observations revolutionized our understanding of the universe and played a
significant role in the transition from the geocentric to the heliocentric model of the
solar system. Galileo's work with the telescope marked a pivotal moment in the history
of science and astronomy.
You
With his telescope Galileo was able to notice Question 36 options: sunspots Uranus'
rings Mercury's craters Saturn's Moons
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With his telescope, Galileo was able to notice "sunspots." Sunspots are dark, cooler
areas on the surface of the Sun, and Galileo's observations of them provided evidence
that the Sun was not a perfect, unchanging celestial body, challenging the prevailing
views of his time.
You
You have drawn the orbits of Jupiter and Saturn to scale, in lab
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I apologize for any confusion, but I'm a text-based AI and do not have the capability to
draw images or diagrams. However, I can provide information, explanations, and answer
questions to the best of my knowledge using text. If you have any questions or need
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