What is the average linear speed of the Earth about the Sun? (The distance from the Sun to the Earth is 1.50 1011 meters. The orbital period around the Sun is 365.3 days.)
speed= 2PI radiusorbit/period
I suggest you put radius in meters,time in seconds?
Study
To find the average linear speed of the Earth around the Sun, we need to find the distance traveled by the Earth in one orbit and divide it by the time it takes to complete one orbit.
The distance traveled by the Earth in one orbit is equal to the circumference of its orbit. We can calculate it using the formula for the circumference of a circle: C = 2πr, where r is the radius of the orbit.
Given that the distance from the Sun to the Earth is 1.50 * 10^11 meters, the radius of the Earth's orbit is equal to this distance.
So, the circumference of the Earth's orbit is C = 2π * (1.50 * 10^11 meters).
Now, we need to find the time it takes for the Earth to complete one orbit, which is the orbital period. Given that the orbital period is 365.3 days, we need to convert it to seconds.
There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. So, there are 365.3 * 24 * 60 * 60 seconds in the orbital period.
Now, we can calculate the average linear speed by dividing the distance traveled by the time taken:
Average speed = distance / time
Average speed = (2π * (1.50 * 10^11 meters)) / (365.3 * 24 * 60 * 60 seconds)
Calculating this expression will give us the average linear speed of the Earth around the Sun.