Calculate the speed of earth rotation using the formular for speed , distance over time 2 pie r
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Calculate the speed of earth rotation using the formular for speed , distance over time 2 pie r
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Answer:
The average distance of the Earth from the Sun is spproximately
150
million km or
1.5
×
10
11
m
The orbit of the Earth around the sun is roughly circular (more eliptical really, but let's keep it simple), with a period of roughly
365
days.
So the path that the Earth traverses in
365
days is approximately the circumference of a circle of radius
1.5
×
10
11
m
.
Use the formula
C
=
2
π
r
to find that this is about
9.4
×
10
11
m
.
The number of seconds in
365
days is:
365
⋅
24
⋅
60
⋅
60
=
31536000
So the tangential velocity of the Earth is approximately:
9.4
×
10
11
3.1536
×
10
7
≈
3
×
10
4
m
s
−
1
That is
30
km per second.
If you want more accuracy, get more accurate figures for the distance of the Earth from the sun at perihelion/aphelion and use a more accurate figure for the orbital period.