if the radius of the earth's orbit around the sun is 93,000,000 miles, what is the speed of the earth in it's orbit in miles per hour?
One year = 365.25 days = 8766 hours
The circumference of the orbit is 93,000,000(2)3.14 = 584,336,234 miles
The orbital velocity is therefore
V = 584,336,234/8766 = 66,660 mph.
It could also be derived knowing the Sun's gravitational constant GM = 4.68772x10^21 ft.^3/sec.^2.
The velocity required to keep the earth in a circular orbit derives from
Vc = sqrt(GM/r), r in feet.
Therefore, Vc = sqrt[(4.687872x10^21(93,000,000)5280] = 97,706 fps = 66,618 mph.
To calculate the speed of the Earth in its orbit around the Sun, we need to use the formula for the circumference of a circle:
Circumference = 2 * π * radius
where π is approximately equal to 3.14159.
Plugging in the given radius:
Circumference = 2 * 3.14159 * 93,000,000 miles
Now we need to find out how long it takes for the Earth to complete one orbit around the Sun. The Earth takes approximately 365.25 days to complete one orbit. Let's convert this into hours:
365.25 days * 24 hours/day = 8,766 hours
So, the Earth completes one orbit in 8,766 hours.
To find the speed, we divide the circumference by the time it takes for one orbit:
Speed = Circumference / Time
Speed = (2 * 3.14159 * 93,000,000 miles) / 8,766 hours
Calculating this gives us the speed of the Earth in its orbit around the Sun in miles per hour.
To calculate the speed of the Earth in its orbit, we need to use the formula for the circumference of a circle: C = 2 * π * r, where C represents the circumference and r is the radius.
First, let's calculate the circumference of the Earth's orbit by substituting the given radius value into the formula:
C = 2 * π * r
C = 2 * π * 93,000,000
To find the speed, we need to determine how long it takes for the Earth to complete one full orbit around the Sun. The Earth takes approximately 365.25 days to complete one orbit. To convert this to hours, we multiply by 24:
Time = 365.25 * 24
Now, let's calculate the speed by dividing the circumference of the orbit by the time it takes to complete one orbit:
Speed = Circumference / Time
Speed = (2 * π * 93,000,000) / (365.25 * 24)
Calculating this equation will give us the speed of the Earth in miles per hour.