Early Scientific Measurements Diameter of Earth Diameter of Moon Distance Between Earth in addition to Moon Distance Between Earth in addition to Sun
MacVean, Mary, Features Reporter has reference to this Academic Journal, PHwiki organized this Journal Early Scientific Measurements Aimed at determining sizes in addition to relative positions of dominant celestial bodies (Earth/Moon/Sun) Per as long as med by Greek Geographers in addition to Mathematicians in 365-240 BC Effectively illustrate power of mathematics in science Instructions to complete h in addition to out: On each of the 5 measurement pages: Label in addition to complete the diagram Illustrate how the diagram in addition to the observations can be used to arrive at an estimate of the indicated quantity On the last page Determine the accuracy of these early measurements by comparing them to their currently accepted values Aristarchus of Samos Diameter of Earth INITIAL Shadow Length S 1 OBSERVATIONS: — = — = -; Arclength = L = 950,000 meters Pillar Height P 8.0 S P L Scenario: At local noon on an equinox light rays from the sun do cast a shadow as long as an upright pillar that is not located at the equator, but on the equator no shadow is cast. Diameter of Moon NEW Solar Eclipse Moon shadow tapers to a point on Earth OBSERVATIONS: Lunar Eclipse Earth shadow tapers to width of 2.5 Moon Diameters Scenario: During a solar eclipse, the shadow of the moon tapers to a point on the surface of the earth. However, during a lunar eclipse, the shadow of the earth tapers to 2.5 moon diameters.
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Distance Between Earth in addition to Moon Coin Diameter DiaCoin 1 NEW OBSERVATION: —- = — = – Earth-Coin Distance LEarth-Coin 110 Scenario: When the moon is full, a small coin can be located an appropriate distance from our eye to perfectly block out the moon. Distance Between Earth in addition to Sun NEW OBSERVATIONS: SEM Angle = 87 Degrees EMS Angle = 90 Degrees Scenario: When the phase of the moon is a perfect quarter the Earth-Moon-Sun angle will be 90 degrees, resulting in the three celestial bodies lying at the vertices of a right triangle. Diameter of the Sun Sun Image Diameter DiaSun Image 1 NEW OBSERVATION: —– = — = – Earth-Paper Distance LEarth-Paper 110 Scenario: When the light from the sun passes through a pin hole in a piece of paper in addition to shines on the ground, a set of similar triangles is created.
Accuracy of These Measurements The currently accepted values as long as the 5 quantities measured by these early scientists are as follows (to two significant digits): DiaEarth = 13,000 Km DiaMoon = 3,600 Km LEarth-Moon = 390,000 Km DiaSun = 1,400,000 Km LEarth-Sun = 150,000,000 Km Absolute in addition to Relative Error are often used to quantify the level of agreement between estimates in addition to accepted values: Illustrate the level of agreement between the currently accepted values in addition to estimates of early scientists by completing the following table (remember: 1 Km = 1000 m)
MacVean, Mary Features Reporter
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