 # The average distance between Earth and the Sun is 1.5\times10^{11}m. (a) David Troyer 2021-12-15 Answered
The average distance between Earth and the Sun is $1.5×{10}^{11}m$.
(a) Calculate the average speed of Earth in its orbit (assumed to be circular) in meters per second. (b) What is this speed in miles per hour?
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We have the average distance $\left[{d}_{g}\right]$ between Earth and Sun $=1.5×{10}^{11}m$
The distance travelled ${d}_{1}$ is given by:
${d}_{1}=2\pi ×{d}_{g}=2\pi ×1.5×{10}^{11}=9.424×{10}^{11}m$
And ${v}_{1}$ is given by:
${v}_{1}=\frac{{d}_{1}}{t}=\frac{9.424×{10}^{11}m}{1year}=\frac{9.424×{10}^{11}m}{365.25day×24×3600s}\approx 3×{10}^{4}\frac{m}{s}$
The average speed of Earth $=29862.85\frac{m}{s}$
The speed is given by:
${v}_{2}=29862.85\frac{m}{s}×\frac{3600}{1609.34}\approx 6.7×{10}^{4}m\frac{i}{h}$
Thus, (a) ${v}_{1}=3×{10}^{4}\frac{m}{s}$, (b) ${v}_{2}=6.7×{10}^{4}m\frac{i}{h}$