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sdas [7]
3 years ago
9

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

Physics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

0.0172rad/day=1.99x10^{-7}rad/second

Explanation:

The definition of angular velocity is as follows:

\omega=2\pi f

where \omega is the angular velocity, and f is the frequency.

Frequency can also be represented as:

f=\frac{1}{T}

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

with this, the angular velocity is:

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

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

\omega=\frac{2\pi}{365days}=0.0172rad/day

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

Firt conveting to hous

365days(\frac{24hours}{1day} )=8760hours

then to minutes

8760hours(\frac{60minutes}{1hour} )=525,600minutes

and finally to seconds

525,600minutes(\frac{60seconds}{1minute})=31,536x10^3seconds

thus, angular velocity in rad/second is:

\omega=\frac{2\pi}{31,536x10^3seconds}=1.99x10^{-7}rad/second

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