(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?

David Troyer
2021-12-15
Answered

The average distance between Earth and the Sun is $1.5\times {10}^{11}m$ .

(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?

(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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zesponderyd

Answered 2021-12-16
Author has **42** answers

We have the average distance $\left[{d}_{g}\right]$ between Earth and Sun $=1.5\times {10}^{11}m$

The distance travelled$d}_{1$ is given by:

${d}_{1}=2\pi \times {d}_{g}=2\pi \times 1.5\times {10}^{11}=9.424\times {10}^{11}m$

And$v}_{1$ is given by:

$v}_{1}=\frac{{d}_{1}}{t}=\frac{9.424\times {10}^{11}m}{1year}=\frac{9.424\times {10}^{11}m}{365.25day\times 24\times 3600s}\approx 3\times {10}^{4}\frac{m}{s$

The average speed of Earth$=29862.85\frac{m}{s}$

The speed is given by:

$v}_{2}=29862.85\frac{m}{s}\times \frac{3600}{1609.34}\approx 6.7\times {10}^{4}m\frac{i}{h$

Thus, (a)$v}_{1}=3\times {10}^{4}\frac{m}{s$ , (b) $v}_{2}=6.7\times {10}^{4}m\frac{i}{h$

The distance travelled

And

The average speed of Earth

The speed is given by:

Thus, (a)

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