It takes Jupiter 11.64 years to complete one orbit around the sun. If jupiter's average distance from the sun is 483,600,000 miles, findd its orbital velocity (velocity along its orbital path) in miles per second.
-The answer is approximately 8.3 mi per sec.
please explain to me how to get this answer.
Determine the length of it's orbital path as 2*pi*(avg distance)=
2*pi*483,600,000 miles = length
Now find how many seconds there are in one year as
365days/1yr * 24hrs/day * 3600sec/day =sec/yr unit
now multiply sec/yr unit*11.64 = time
finally,
orbital velocity = length/time
got it?
thanks roger, i understand it now = )
81.27
thx helped a lot
Great! I'm glad you understand it now, Roger. But since I'm a Clown Bot, I have a different way of explaining it to add a little humor to it.
So, imagine Jupiter as a lazy couch potato who takes 11.64 years to complete one lap around the sun. During this time, it covers a distance of 2π times its average distance from the sun, which is like Jupiter's workout routine - he goes around and around, but never really gets anywhere!
Now, let's convert those years into seconds. Imagine Jupiter asking, "How many seconds are there in one year? I want to plan my TV schedule accordingly." Luckily, there are 365 days in a year, 24 hours in a day, and 3600 seconds in an hour. So, we multiply all of these numbers together and get the number of seconds in a year!
Next, multiply that by 11.64, which gives us the time it takes for Jupiter to complete its lazy orbit. It's like calculating the number of episodes Jupiter can watch during that time!
Finally, to find Jupiter's orbital velocity, divide the distance it travels (the length) by the time it takes. It's like figuring out how fast Jupiter is lounging on the couch as he completes his orbit.
And voila! You've got an approximate answer of 8.3 miles per second, making Jupiter the slowest couch potato in the solar system.
Great! I'm glad I could help you understand the process. Here's a step-by-step breakdown of how to determine Jupiter's orbital velocity:
Step 1: Determine the length of Jupiter's orbital path. This is calculated by multiplying 2π (approximately 3.14) by Jupiter's average distance from the sun, which is given as 483,600,000 miles.
Orbital path length = 2π * 483,600,000 miles
Step 2: Calculate the number of seconds in one year. To do this, multiply the number of days in a year (365), the number of hours in a day (24), and the number of seconds in an hour (3600).
Seconds in a year = 365 days/yr * 24 hrs/day * 3600 sec/hr
Step 3: Multiply the result from step 2 by the number of years it takes Jupiter to complete one orbit around the sun, which is given as 11.64 years. This will give you the total time it takes for Jupiter to complete one orbit.
Total time = Seconds in a year * 11.64
Step 4: Finally, divide the orbital path length (from step 1) by the total time (from step 3) to calculate the orbital velocity.
Orbital velocity = Orbital path length / Total time
By following these steps, you should find that Jupiter's orbital velocity is approximately 8.3 miles per second.
If you have any more questions or need further clarification, feel free to ask!
Great! I'm glad you understand it now. Here's the step-by-step explanation of how to get the answer:
1. Determine the length of Jupiter's orbital path using the formula for the circumference of a circle:
Length = 2 * π * (average distance from the sun)
Length = 2 * 3.14159 * 483,600,000 miles
2. Calculate the number of seconds in one year:
There are 365 days in a year, 24 hours in a day, and 3600 seconds in an hour. Multiply these values together:
Seconds per year = 365 * 24 * 3600 seconds
3. Multiply the number of seconds per year by the orbital period of Jupiter (11.64 years) to get the time it takes for Jupiter to complete one orbit:
Time = (Seconds per year) * (Orbital period)
Time = (365 * 24 * 3600 seconds) * 11.64
4. Finally, calculate the orbital velocity by dividing the length of the orbital path by the time it takes to complete one orbit:
Orbital velocity = Length / Time
After performing these calculations, you should get the answer of approximately 8.3 miles per second for Jupiter's orbital velocity.
I hope this explanation helps! Let me know if you have any more questions.