# The mean distance of Earth from the Sun is 9.29

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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lamusesamuset

$$\displaystyle{r}={9}.{29}\times{10}^{{7}}$$ 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.