Chapter 13.1, Problem 12P

To determine

To find:The angular speed in radians per second.

Answer to Problem 12P

The angular speed in radians per secondis $\frac{\pi }{43200}\text{rad}/\sec$ .

Explanation of Solution

Given information: Each point on Earth’s surface moves in a circle.

Calculation:

The angular speed in radians per secondis,

  $\begin{array}{c}\omega =\frac{\text{2}\pi }{1\text{day}}\cdot \frac{1\text{day}}{24\text{hr}}\cdot \frac{1\text{hr}}{60\min }\cdot \frac{1\min }{60\sec }\\ =\frac{\pi }{43200}\text{rad}/\sec \end{array}$

Thus, the angular speed in radians per second is $\frac{\pi }{43200}\text{rad}/\sec$ .