Converting Between Linear & Rotational Video Lessons

Concept

# Problem: a. What is the linear speed of a point on the equator due to the Earths rotation?b. What is the linear speed of a point on the Arctic Circle (latitude 66.5 ) due to the Earths rotation?c. What is the linear speed of a point at a latitude of 46.0 N, due to the Earths rotation?

###### FREE Expert Solution

The relationship between linear velocity and angular velocity is given by:

$\overline{){\mathbf{v}}{\mathbf{=}}{\mathbf{r}}{\mathbf{\omega }}}$, where v is the linear velocity, r is the radial distance, and ω is the angular velocity.

###### Problem Details

a. What is the linear speed of a point on the equator due to the Earths rotation?

b. What is the linear speed of a point on the Arctic Circle (latitude 66.5 ) due to the Earths rotation?

c. What is the linear speed of a point at a latitude of 46.0 N, due to the Earths rotation?