Question

A planet rotates on an axis through its poles and 1 revolution takes 1 day​ (1 day is 20 ​hours). The distance from the axis to a location on the planet 30degrees north latitude is about 3990.5 miles.​ Therefore, a location on the planet at 30degrees north latitude is spinning on a circle of radius 3990.5 miles. Compute the linear speed on the surface of the planet at 30 degrees north latitude.

Answer 1

Answer:

1254.16 miles per hour

Explanation:

First, we need to calculate the circumference at 30° latitude

Circumference =2πR

Where R = Radius = 3990.5 miles

Circumference =2 * 22/7 * 3990.5 = 25083.143 miles

This is the distance traveled in one revolution

1 rev (according to the question) = 20 hours

Using dimentional analysis,

Linear Speed = Radius (25083.143) / Rev time (20)

Linear Speed = 25083.143 / 20

Linear Speed = 1254.16 miles per hour