Question

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.

Answer 1

Answer:

$1.99\cdot 10^{-7} rad/s$

Explanation:

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

$\omega = \frac{2 \pi}{T}$

where

$2 \pi$ 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:

$T=365.25 d \cdot (24 h/d) \cdot (60 min/h) \cdot (60 s/min)=3.16\cdot 10^7 s$

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

$\omega=\frac{2 \pi rad}{3.16\cdot 10^7 m/s}=1.99\cdot 10^{-7} rad/s$

Answer 2

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