Eratosthenes measured the circumference of the Earth by noting that the Sun is at an angle...
Eratosthenes measured the circumference of the Earth by noting that the Sun is at an angle of 6o south of the vertical in Aleandria at the same time of day and year that it is directly overhead in Syene, 400 km directly south of Alexandria. Find the circumference of the Earth from these data. (arc length: s=Rtheta for theta in radians) and C=R2pie.
Homework Answers
distance = 400 km
6 degree is one-sixtieth of circle , then the circle has circumference
400 * 60 = 24,000 km = 2.4 x 10^4 km
Add Answer to:
Eratosthenes measured the circumference of the Earth by noting
that the Sun is at an angle...
5. This may be the first calculation of the circumference of the earth ever made! It...
5. This may be the first calculation of the circumference of the earth ever made! It was done by Eratosthenes a Greek mathematician living in Egypt), in approximately 200 BC. One day, at midday, the sun shone directly down a well in the city of Syene (now Aswan, Egypt), so the sun was directly overhead. On the same day, at the same time, Eratosthenes measured that in the nearby city of Alexandria, a line pointed straight at the sun formed...
2. One assumption that Eratosthenes made was that the earth was a perfect sphere. What are...
2. One assumption that Eratosthenes made was that the earth was a perfect sphere. What are 5 other assumptions critical to this calculation? Eratosthenes was a Greek mathematician who lived 276-194 BC. At summer solstice he waited until noon, when the sun was directly overhead in Aswan. He placed a gnomon (basically a stick) at the bottom of the well at 90° to the ground, and noticed that it cast no shadow. Then at the same time he had others...
Eratosthenes was a Greek mathematician who lived 276-194 BC. At summer solstice he waited until noon,...
Eratosthenes was a Greek mathematician who lived 276-194 BC. At summer solstice he waited until noon, when the sun was directly overhead in Aswan. He placed a gnomon (basically a stick) at the bottom of the well at 90° to the ground, and noticed that it cast no shadow. Then at the same time he had others place a gnomon in Alexandria. He found that the tip of the gnomon made an angle of 7° to the edge of the...
Copy this diagram and extend the pole length to create a transversal to the parallel sun rays. Y...
Copy this diagram
and extend the pole length to create a transversal to the parallel
sun rays.
Your explanation in completing the problem should include full
sentences, using words. It should also make sure to refer to any of
the following three key facts you use to determine the angle with
vertex C:
(a) The vertical angles formed by intersection of two lines
are equal.
(b) The Parallel Postulate: If parallel lines are cut by
another line, the corresponding angles...
Did Eratosthenes really do the measurement? Because the Great Library at Alexandria was an amazing firetrap...
Did Eratosthenes really do the measurement? Because the Great Library at Alexandria was an amazing firetrap (wood shelves, papyrus scrolls, etc.), it burned several times and many of the early Greek manuscripts were lost. All of the descriptions that we have of Eratosthenes are second-hand in what were essentially astronomy textbooks. As we will se later, the ancient Greeks often did thought experiments but did not always do the actual experiments. My opinion is that Eratosthenes las the right man...
The Apparent Motion of the Surn The sun rises in the east, moves across the south,...
The Apparent Motion of the Surn The sun rises in the east, moves across the south, and sets in the west much as stars in non-circumpolar constellations do. Just as for the stars, this apparent motion is really due to the rotation of the earth on its axis The Earth's motion around the Sun adds a complication to the Sun's apparent motion. In a full year, or 365 days, the Earth would go completely around the Sun so that the...
A The Earth exerts a gravitational pull of 2.0 ×1020 N on the Moon; the Sun...
A The Earth exerts a gravitational pull of 2.0 ×1020 N on the Moon; the Sun exerts a gravitational pull of 4.3 ×1020 N on the Moon.What is the net force on the Moon when the angular separation between the Earth and the Sun is 90 as seen from the Moon? B : A gun on the shore (at sea level) fires a shot at a ship which is heading directly toward the gun at a speed of 40 km/h....
LAB 7. Where is 8. What CHAPTER 26-SKILL SHEET 1: LOADS OF LUNACY · Procedure Since earth has a normal tilt of 23.5 degrees, we can use that standard to help us calculate the angle of the sun thr...
LAB 7. Where is 8. What CHAPTER 26-SKILL SHEET 1: LOADS OF LUNACY · Procedure Since earth has a normal tilt of 23.5 degrees, we can use that standard to help us calculate the angle of the sun through the seasons for our location (New York). Step 1: Using your ESRT, find the approximate latitude of your present location (Center Moriches) Step 2: The Maximum angle of Insolation that can be received anywhere on earth is 90 degrees (think right...
a) Using s = rθ, calculate the arc length (in meters) subtended by the sun when...
a) Using s = rθ, calculate the arc length (in meters) subtended by the sun when it moves an angular distance of 2 x10-6 °. The distance between the Earth and Sun is called an AU (astronomical unit). 1 AU = 1.5 x1011 m. (Don’t forget to convert to radians). As you can see from the above calculation, a small change in angle can correspond to a large distance. In astronomy angles are typically measured in arcminutes or arcseconds 1...
The beam from a lighthouse completes one rotation every two minutes. At time t, the distance...
The beam from a lighthouse completes one rotation every two minutes. At time t, the distance d shown in the figure below is d(t) - 3 tan(st) where t is measured in minutes and din miles. 3 mi (a) Find d(0.1), d(0.25), and d(0.4). (Round your answers to two decimal places.) d(0.1) - mi d(0.25) - mi d(0.4) - mi On a day when the sun passes directly overhead at noon, a 6-ft-tall man casts a shadow of length S()...
5. This may be the first calculation of the circumference of the earth ever made! It was done by Eratosthenes a Greek mathematician living in Egypt), in approximately 200 BC. One day, at midday, the sun shone directly down a well in the city of Syene (now Aswan, Egypt), so the sun was directly overhead. On the same day, at the same time, Eratosthenes measured that in the nearby city of Alexandria, a line pointed straight at the sun formed...
Copy this diagram
and extend the pole length to create a transversal to the parallel
sun rays.
Your explanation in completing the problem should include full
sentences, using words. It should also make sure to refer to any of
the following three key facts you use to determine the angle with
vertex C:
(a) The vertical angles formed by intersection of two lines
are equal.
(b) The Parallel Postulate: If parallel lines are cut by
another line, the corresponding angles...
Did Eratosthenes really do the measurement? Because the Great Library at Alexandria was an amazing firetrap (wood shelves, papyrus scrolls, etc.), it burned several times and many of the early Greek manuscripts were lost. All of the descriptions that we have of Eratosthenes are second-hand in what were essentially astronomy textbooks. As we will se later, the ancient Greeks often did thought experiments but did not always do the actual experiments. My opinion is that Eratosthenes las the right man...
The Apparent Motion of the Surn The sun rises in the east, moves across the south, and sets in the west much as stars in non-circumpolar constellations do. Just as for the stars, this apparent motion is really due to the rotation of the earth on its axis The Earth's motion around the Sun adds a complication to the Sun's apparent motion. In a full year, or 365 days, the Earth would go completely around the Sun so that the...
LAB 7. Where is 8. What CHAPTER 26-SKILL SHEET 1: LOADS OF LUNACY · Procedure Since earth has a normal tilt of 23.5 degrees, we can use that standard to help us calculate the angle of the sun through the seasons for our location (New York). Step 1: Using your ESRT, find the approximate latitude of your present location (Center Moriches) Step 2: The Maximum angle of Insolation that can be received anywhere on earth is 90 degrees (think right...
The beam from a lighthouse completes one rotation every two minutes. At time t, the distance d shown in the figure below is d(t) - 3 tan(st) where t is measured in minutes and din miles. 3 mi (a) Find d(0.1), d(0.25), and d(0.4). (Round your answers to two decimal places.) d(0.1) - mi d(0.25) - mi d(0.4) - mi On a day when the sun passes directly overhead at noon, a 6-ft-tall man casts a shadow of length S()...
Most questions answered within 3 hours.
-
If for a test the P-value is between 0.0025 and 0.005, what
conclusion can you draw?...
asked 6 minutes ago -
Using Python. Write a function clean2(aList) that takes a list
of integers aList as argument, and...
asked 12 minutes ago -
Intrapreneurship is defined as the
development of an enterprise culture with an existing (Nandan,
2009). An...
asked 25 minutes ago -
QUESTION 1 Tamiflu is a drug used to treat influenza. A study
found that Tamiflu reduced...
asked 29 minutes ago -
Which of the following would be less likely to be used to
allocate factory overhead when...
asked 35 minutes ago -
Transverse pulses travel with a speed of 195 m/s along a taut
copper wire whose diameter...
asked 34 minutes ago -
Sampling for Engineers Homework question 11.51
Suppose that Y1;Y2;Y3;Y4 denote a random sample from a
Poisson(θ)...
asked 37 minutes ago -
Which of the following is cleaved by regulated intramembrane
proteolysis (RIP)? Select any/all answers that apply....
asked 37 minutes ago -
Random characters You decide to create a program characters.py
that fills a two-dimensional list with random...
asked 49 minutes ago -
What are the major sources of error in your determination of the
molar mass? Select all...
asked 53 minutes ago -
A. Suppose your manager indicates that for a normally
distributed data set you are analyzing, your...
asked 1 hour ago -
During the month of August, the average temperature of a lake
next to a local college...
asked 56 minutes ago