The Earth orbits the Sun once every 365 days. The distance between the Earth and the Sun is 1.5 x 1011 m. What is the average orbital velocity of the Earth as it travels around the Sun?
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To find the average orbital velocity of the Earth, we can use the formula:
Average orbital velocity = (2π x distance traveled) / (time taken)
Given that the Earth orbits the Sun once every 365 days and the distance between the Earth and the Sun is 1.5 x 10^11 m, we can plug in these values and solve for the average orbital velocity.
First, let's convert the time taken from days to seconds:
365 days x 24 hours/day x 60 minutes/hour x 60 seconds/minute = 31,536,000 seconds
Now, let's plug in the values into the formula:
Average orbital velocity = (2π x 1.5 x 10^11 m) / (31,536,000 s)
Calculating this, we get:
Average orbital velocity = 9.34 x 10^4 m/s
Therefore, the average orbital velocity of the Earth as it travels around the Sun is approximately 9.34 x 10^4 m/s.
To find the average orbital velocity of the Earth as it travels around the Sun, we need to use the formula:
Average orbital velocity = (2 * π * distance) / time
First, let's convert the distance between the Earth and the Sun from scientific notation to standard form:
Distance = 1.5 x 10^11 m
Using scientific notation, we can rewrite this distance as:
Distance = 1.5 * 10^11 m
Next, we know that the time it takes for the Earth to orbit the Sun is 365 days. However, we need to convert this time to seconds to match the units of the distance (meters). Remember that one day is equal to 24 hours, one hour is equal to 60 minutes, and one minute is equal to 60 seconds:
Time = 365 days
Time = 365 days * 24 hours/day * 60 minutes/hour * 60 seconds/minute
Time = 31536000 seconds
Now that we have both the distance and time in matching units, we can substitute these values into the formula to calculate the average orbital velocity:
Average orbital velocity = (2 * π * Distance) / Time
Average orbital velocity = (2 * π * 1.5 * 10^11 m) / 31536000 s
Calculating this expression will give us the average orbital velocity of the Earth as it travels around the Sun.