The earth is on average 150 million km from the sun.calculate its average speed in orbit.
2 * π * 1.5E8 km / (365.25 * 24 hr) = ? km/hr
To calculate the average speed of the Earth in its orbit around the Sun, we can use the formula:
Average speed = Circumference of orbit / Time taken
First, we need to calculate the circumference of Earth's orbit. The circumference of a circle is given by the formula:
Circumference = 2 * π * Radius
We know that the average distance of the Earth from the Sun (Radius) is 150 million km. Therefore, the radius in kilometers is 150 million km.
Circumference = 2 * π * 150 million km
Next, we need to determine the time it takes for the Earth to complete one orbit around the Sun. This time is approximately 365.25 days, or 365.25 * 24 hours.
Now we have the values we need, let's calculate the average speed:
Average speed = Circumference / Time taken
Inserting the values:
Average speed = 2 * π * 150 million km / (365.25 * 24 hours)
This will give us the average speed of the Earth in its orbit around the Sun.
To calculate the average speed of the Earth in its orbit around the Sun, we need to divide the total distance traveled by the Earth by the time it takes to complete one orbit.
1. Calculate the circumference of the Earth's orbit: The distance traveled by the Earth in one orbit is equal to the circumference of its orbit. The formula for the circumference of a circle is C = 2πr, where r is the radius of the orbit. Since the Earth's average distance from the Sun is given as 150 million km, we can use this value as the radius.
C = 2π × 150 million km
2. Calculate the time taken for one orbit: The Earth takes approximately 365.25 days to complete one orbit around the Sun. We need to convert this time to seconds, as the speed will be in km/s.
T = 365.25 days × 24 hours/day × 60 minutes/hour × 60 seconds/minute
3. Calculate the average speed: Divide the distance traveled (circumference) by the time taken.
Average speed = Circumference / Time
Remember to convert the time to the same units as the circumference. Since we have the distance in km and the time in seconds, the result will be in km/s.
Now let's calculate the average speed of the Earth in its orbit around the Sun:
C = 2π × 150 million km ≈ 2π × 1.5 × 10^8 km
T = 365.25 days × 24 hours/day × 60 minutes/hour × 60 seconds/minute
Once you calculate the values of C and T, plug them into the formula:
Average speed = C / T
Evaluated using these calculations, the average speed of the Earth in its orbit around the Sun is approximately the result of dividing the circumference of the orbit by the time it takes to complete one orbit.