Consider the Earth rotating around the sun. As you may know, the Earth’s axis of

Question

Consider the Earth rotating around the sun. As you may know, the Earth’s axis of rotation is tilted with respect to its orbit around the sun by an angle of about 23.5, as shown in the figure below (2330 = 23.5)

a) Find the speed of a point on the equator due to the Earth’s rotation. The earth completes 1 revolution per day, and the radius of the earth is about 4000 miles. Express your answer as a scalar with units of miles/hour.

b) In addition, if the earth rotates around the sun in the ecliptic plane (shown above), find the velocity (or speed, whichever you prefer) of the earth due to this rotation. The earth completes one revolution each sidereal year (365.24 days), and is 92,956,000 miles from the sun.

For both of the above problems, sketch the w and r vectors

Explanation / Answer

A)The length of the equator has been measured precisely by geographers and surveyors. As indicated by a 2000 study, to inside a millimeter of precision, it is 40,075,035.535 m. As the Earth turns once like clockwork, you can partition the separation when to get your required speed.

earth is 56000 miles around divided by 24 hours which gives u 2333 miles per hour

B)v=rw

w= 2pi*f

t= 1/f

v=92,956,000 x 2x3.14x1/24x365

=66639m/s

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