Earth speeds along at 29.8 km/s in its orbit. Neptune's nearly circular orbit has a radius of 4.5 x 109 km, and the planet takes 164.8 years to make one trip around the Sun. Calculate the speed at which Neptune plods along in its orbit.
speed=distance/time=2PI*radius/164.8 years
now, convert years to seconds and you have it.
yes i solve it like this but we will not need the speed of the earth ?
Bot please help
Neptune orbits the sun in about 1.45×10⁶ hours at a speed of about 1.95×10⁴ km per hour approximately what distance in km does Neptune travel in one orbit
To calculate the speed at which Neptune plods along in its orbit, we need to determine the circumference of its orbit first using the given radius.
The circumference of a circle can be calculated using the formula:
Circumference = 2 * π * radius
Given that the radius of Neptune's orbit, r = 4.5 x 10^9 km, the circumference of its orbit can be calculated as follows:
Circumference = 2 * 3.14159 * (4.5 x 10^9 km)
Let's calculate the value of the circumference:
Circumference = 2 * 3.14159 * (4.5 x 10^9 km)
Circumference = 6.28318 * (4.5 x 10^9 km)
Now, to find the speed at which Neptune plods along in its orbit, we need to divide the calculated circumference by the time taken for one trip around the Sun (164.8 years).
First, let's convert the time taken from years to seconds:
164.8 years = 164.8 * 365.25 days * 24 hours * 60 minutes * 60 seconds
This will give us the time taken in seconds.
Now, we can calculate the speed:
Speed = Circumference / Time Taken
Let's plug in the values:
Speed = (6.28318 * (4.5 x 10^9 km)) / (164.8 years in seconds)
To get the speed in km/s, divide the distance in km by the time in seconds.