The earth's velocity is expressed as:

$\overline{){\mathbf{v}}{\mathbf{=}}\sqrt{\frac{\mathbf{G}\mathbf{M}}{\mathbf{r}}}}$

Angular velocity:

$\overline{){\mathbf{\omega}}{\mathbf{=}}\frac{\mathbf{v}}{\mathbf{r}}}$

Centripetal acceleration:

$\overline{){{\mathbf{a}}}_{{\mathbf{c}}}{\mathbf{=}}\frac{{\mathbf{v}}^{\mathbf{2}}}{\mathbf{r}}}$

The radius of the earth's very nearly circular orbit around the sun is 1.5x10^{11}m.

A. Find the magnitude of the earth's velocity as it travels around the sun. Assume a year of 365 days. (km/s)

B. Find the magnitude of the earth's angular velocity as it travels around the sun. Assume a year of 365 days. (rad/s)

C. Find the magnitude of the earth's centripetal acceleration as it travels around the sun. Assume a year of 365 days (m/s^{2})

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Converting Between Linear & Rotational concept. You can view video lessons to learn Converting Between Linear & Rotational. Or if you need more Converting Between Linear & Rotational practice, you can also practice Converting Between Linear & Rotational practice problems.