The mean distance of Earth from the Sun is 9.29

Mylo O'Moore 2021-08-08 Answered
The mean distance of Earth from the Sun is \(\displaystyle{9.29}\times{1079.29}\times{10}^{{7}}\) miles. The orbit of Earth around the Sun is circular and that 1 revolution takes 365 days. find the linear speed of Earth.

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Expert Answer

lamusesamuset
Answered 2021-08-09 Author has 18457 answers

\(\displaystyle{r}={9}.{29}\times{10}^{{7}}\) miles
\(\displaystyle\omega={2}\frac{\pi}{{365}}\frac{{rad}}{{day}}={2}\frac{\pi}{{{356}\times{24}}}\frac{rad}{hour}=\frac{\pi}{{4380}}\frac{{rad}}{{hour}}\)
To get linear speed \(\displaystyle\upsilon\), we use the formula: \(\displaystyle\upsilon=\omega\times{r}\)
\(\displaystyle\upsilon=\omega\times{r}=\frac{\pi}{{4380}}\times{9.29}\times{10}^{{7}}\approx{66599.54}\) miles per hour.

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