Earth orbits the sun once every 365.25 days. find the average angular. speed of earth about the sun. answer in units of rad/s.

Explanation:

The average angular speed of the Earth about the Sun is given by:

where

rad is the total angle corresponding to one revolution of the Earth around the Sun

T is the orbital period of the Earth

The orbital period of the Earth is 365.25 d. We must convert it into seconds first:

And by substituting into the equation above, we find the average angular speed:

The average angular speed of Earth about the sun is .

Given data:

The orbiting period of Earth is, T = 365.25 days

The rate of change of angular displacement of an object with respect to time is known as angular speed.

We know that,

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

Therefore,

Now, the expression for the angular speed of the Earth is,

Solving as,

Thus, we can conclude that the average angular speed of Earth about the sun is .

learn more about the angular speed here:

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