Calculate the angular velocity of the earth in its orbit around the sun.

Explanation:

The definition of angular velocity is as follows:

where is the angular velocity, and is the frequency.

Frequency can also be represented as:

where is the period, (the time it takes to conclude a cycle)

with this, the angular velocity is:

The period T of rotation around the sun 365 days, thus, the angular velocity:

if we want the angular velocity in rad/second, we need to convert the 365 days to seconds:

Firt conveting to hous

then to minutes

and finally to seconds

thus, angular velocity in rad/second is:

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