Can you calculate the Earth's Speed?

Question

If I give you the following, can you calculate how fast the Earth travels around the sun? Whoever comes closes to the answer (or answers correctly first) wins. Here we go.

A) The sun's circumference is 2,729,873 mi
B) The Earth's circumference is 24,965 mi
C) The Distance between the Sun's surface and Earth's surface is 93,784,561 mi
D) The Earth makes one full revolution per year

Conversion: c = 2 π r.

Round to the nearest whole number.

ps: this is just for fun

Speed needs to be in "miles per hour"

Answer 1

Using the values provided and assuming a circular orbit, the distance between the center of the earth and the center of the sun is:
2,729,873/pi/2 + 24,965/pi/2 + 93,784,561 = 94,223,007 mi

The circumference of Earth's orbit is:
94223007 * 2 * pi = 592,020,613 mi

There are 365.2422 days per year and 24 hours per days so a revolution around the sun takes
365.2422 * 24 = 8765.8128 hours

The speed of the Earth in its orbit around the sun is
592,020,613 mi / 8765.8128 hr = 67537.4464 mph

Answer 2

The orbital % of the Earth averages about 30 km/s (108,000 km/h). yet out of your question, "what's the everyday % Earth orbits the solar if its orbit replaced into in a round route?" i'm no longer particular yet: a million.40 9 X 10^11 X 360 360 = degree of a circle

Answer 3

Rs = Cs/(2 pi)
Re = Ce/(2 pi)
r = d + Rs + Re
c = 2 pi r
c = 2 pi { d + Rs + Re }
c = 2 pi d + (Cs + Ce)
t = 1 year = 8765.81 hours.
v = c/t
v = { 2 pi d + (Cs + Ce) } / 8765.81 hours

I won't put in the numbers because you didn't specify that that distance (d) is the NEAREST distance between those two surfaces, and because, if you meant the nearest approach, then you have an incorrect value for it.

The correct value for the nearest distance of their surfaces, when the centers of Earth and the sun are at their average separation, is 92,519,370 miles.

The speed of Earth at all points in its orbit can be found from the Vis Viva equation:

v = sqrt { GM (2/r - 1/a) }

where GM = 1.32712440018E+20 m^3/s^2
where r = the current distance between Earth and sun
where a = 1.49597887775E+11 meters

The velocity of Earth in at any part of its orbit can be found from

K = 29788.85 m/s
e = 0.0167102
w = 103.078 degrees
Vx''' = -K sin Q
Vy''' = K (e + cos Q)
Vx = Vx''' cos w - Vy''' sin w
Vy = Vx''' sin w + Vy''' cos w
Vz = 0

where Q is the true anomaly of Earth in its orbit
where [Vx, Vy, Vz] is Earth's velocity in heliocentric ecliptic coordinates.

Answer 4

It is ESTIMATED we travel about 400,000 miles per hour.

We travel 2,100 in rotation.

We travel something like 25,000 in orbit

The Sun orbits in the Milky Way

The Milky Way tavels outward with the sun and the Earth.

The grand total is estimated at 200,000 to 400,000, but we don't really know

We could be moving as fast as 150,000 miles PER SECOND like a Quasar.

Answer 5


Whenever life gets you down, Mrs. Brown,
And things seem hard or tough,
And people are stupid, obnoxious or daft,


And you feel that you've had quite eno-o-o-o-o-ough,

Just remember that you're standing on a planet that's evolving
And reolving at nine thousand miles an hour.
It's orbiting at nineteen miles a second, so it's reckoned,
'Round the sun that is the source of all our power.
Now the sun, and you and me, and all the stars that we can see,
Are moving at a million miles a day,
In the outer spiral arm, at fourteen thousand miles an hour,
Of a galaxy we call the Milky Way.

Our galaxy itself contains a hundred million stars;
It's a hundred thousand light-years side to side;
It bulges in the middle sixteen thousand light-years thick,
But out by us it's just three thousand light-years wide.
We're thirty thousand light-years from Galactic Central Point,
We go 'round every two hundred million years;
And our galaxy itself is one of millions of billions
In this amazing and expanding universe.



Our universe itself keeps on expanding and expanding,
In all of the directions it can whiz;
As fast as it can go, that's the speed of light, you know,
Twelve million miles a minute and that's the fastest speed there is.
So remember, when you're feeling very small and insecure,
How amazingly unlikely is your birth;
And pray that there's intelligent life somewhere out in space,
'Cause there's bugger all down here on Earth!

Answer 6

1637016.7114439260780287474332649 Miles Per Day.

68209.029643496919917864476383333 Miles Per Hour
I am not sure if I did this right.

Answer 7

How exact do you want? approximately 1,613,971.12 mph. This assumes a circular orbit rather than an elliptical orbit.

Answer 8

ifyou know the answer, why are you asking us?

69,194 mph at the center of the earth's core (assuming an earth radius of about 4,000 miles)

EDIT: Oh I see.

Answer 9

Me? Personally, no, math is not my strong suit...I am getting SAT flashbacks from this question!

But thanks for asking.