Monica stepped outside and began to think how fast she is moving even when she is standing still.

Assume that the earth is a sphere with a radius of 3960 miles and Monica is at a latitude of 13∘N.

What is Monica's speed due solely to the rotation of the earth in miles per hour?

1 answer

looking at a polar cross section

Monica's radius of rotation (r) is
... 3960 mi * sin(90 - 13)

her speed is ... 2 * π * r / 24 hr