what is tangential velocity of the earth as it travels in its orbit around the sun?
it goes around with a radus of ....
it has a period of ....
velocity= 2PI radius/period
To calculate the tangential velocity of the Earth as it travels in its orbit around the Sun, you can use the formula:
v = 2πr / T
Where:
v is the tangential velocity
π is approximately 3.14159
r is the radius of Earth's orbit around the Sun
T is the time it takes for the Earth to complete one orbit around the Sun (also known as the period)
The radius of Earth's orbit around the Sun (r) is approximately 149.6 million kilometers or 92.9 million miles.
The time it takes for the Earth to complete one orbit (T) is approximately 365.25 days or 31,557,600 seconds.
By substituting these values into the formula, we can calculate the tangential velocity of the Earth:
v = (2π * 149.6 million km) / (31,557,600 seconds)
v ≈ 29.8 kilometers per second
So, the tangential velocity of the Earth as it travels in its orbit around the Sun is approximately 29.8 kilometers per second.
To calculate the tangential velocity of the Earth as it travels in its orbit around the sun, we need to use the formula for tangential velocity, which is equal to the circumference of the orbit divided by the time taken to complete one orbit.
1. First, we need to determine the circumference of the Earth's orbit around the sun. The Earth's orbit is an elliptical shape, but for simplicity, we can assume it as a circle with the radius equal to the average distance from the Earth to the Sun. This average distance is known as an astronomical unit (AU) and is approximately 149.6 million kilometers.
2. To find the circumference, we can use the formula C = 2πr, where C is the circumference and r is the radius. Substituting the value of the radius, we get:
C = 2π * 149.6 million kilometers
3. The next step is to determine the time taken by the Earth to complete one orbit around the Sun, which is approximately 365.25 days (taking into account the extra one-fourth day in a leap year).
4. Convert the time into seconds by multiplying it by the number of seconds in a day. There are 24 hours in a day and 60 minutes in an hour, with each minute having 60 seconds.
Time taken = 365.25 days * 24 hours/day * 60 minutes/hour * 60 seconds/minute
5. Now, we have the circumference of the orbit and the time taken to complete one orbit. By dividing the circumference by the time, we can calculate the tangential velocity:
Tangential velocity = Circumference / Time taken
Substituting the values into the formula, we get:
Tangential velocity = [2π * 149.6 million kilometers] / [365.25 days * 24 hours/day * 60 minutes/hour * 60 seconds/minute]
6. Calculate this expression to find the tangential velocity of the Earth as it travels in its orbit around the sun. The result will be in kilometers per second.
Note: It is important to consider that this value will be an average as the Earth's orbit is not perfectly circular, and its speed varies at different points of the orbit.