What is the average linear speed of Mercury about the Sun? (The distance from the Sun to Mercury is 5.80 1010 meters. The orbital period around the Sun is 88 days.)
Divide 2 pi R by the period in days. The answer will be in meters per day. Divide than by 24x3600 = 86,400 sec/day to get V in meters per second.
To find the average linear speed of Mercury around the Sun, we can use the equation:
Average Linear Speed = Distance / Time
First, let's convert the orbital period from days to seconds. There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute.
88 days * 24 hours/day * 60 minutes/hour * 60 seconds/minute = 76,032,000 seconds
Next, we can plug the values into the equation:
Average Linear Speed = 5.80 * 10^10 meters / 76,032,000 seconds
Calculating this, we find:
Average Linear Speed ≈ 7628.41 meters/second
Therefore, the average linear speed of Mercury around the Sun is approximately 7628.41 meters/second.