what is the angular speed of the earth as it orbits the sun
a) in radians/second?
b) in degrees per day?
I need help please. Use the equation and step by step to get the answer
(2 * pi) / (365.25 * 24 * 60 * 60) = 1.99102128 × 10^-7
that was in radians/second
correct.
How do I find degrees per day?
How do I find degrees per day??
Multiply by (pi/180) for degrees per second, then multiply by the seconds in a day (86400) to get degrees per day.
To find the angular speed of the Earth as it orbits the sun, we can use the equation:
Angular speed (ω) = (2π / T)
Where T is the period of the Earth's orbit around the Sun. The period is the time it takes for the Earth to complete one full orbit, which is approximately 365.25 days.
a) To find the angular speed of the Earth in radians/second:
1. Convert the period from days to seconds. Since there are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute, we can multiply the period by 24 * 60 * 60 to get the result in seconds.
T = 365.25 days * 24 hours/day * 60 min/hour * 60 sec/min
2. Calculate the angular speed using the formula:
ω = (2π / T)
b) To find the angular speed of the Earth in degrees per day:
1. Calculate the number of degrees in one full orbit. Since there are 360 degrees in a circle, the Earth would travel 360 degrees in one full orbit.
2. Divide the total degrees by the period to get the angular speed in degrees per day:
Angular speed = 360 degrees / T
Now, let's calculate the values step by step.
a) Angular speed in radians/second:
T = 365.25 * 24 * 60 * 60 seconds
= 31,557,600 seconds
ω = (2π / T)
= 2 * 3.14159 / 31,557,600
≈ 0.0000000628 radians/second
Therefore, the angular speed of the Earth in radians/second is approximately 0.0000000628.
b) Angular speed in degrees per day:
Angular speed = 360 degrees / T
= 360 / 365.25
≈ 0.986 degrees/day
Therefore, the angular speed of the Earth in degrees per day is approximately 0.986 degrees.