Find the angular speed of the earth in revolution per second and radians per second.

To find the angular speed of the earth in revolutions per second, we need to know the time it takes for the earth to complete one revolution. The time it takes for the earth to complete one revolution is 24 hours or 86,400 seconds.

To calculate the angular speed in revolutions per second, we divide the number of revolutions by the time taken. Since the earth completes one revolution in 24 hours, the angular speed in revolutions per second is:

1 revolution / 86,400 seconds = 0.000011574 revolutions per second

To find the angular speed of the earth in radians per second, we need to convert the number of revolutions to radians. Since there are 2π radians in one revolution, we can multiply the angular speed in revolutions per second by 2π to get the angular speed in radians per second.

Angular speed in radians per second = 0.000011574 revolutions per second * 2π radians/revolution

Simplifying the equation, we get:

Angular speed in radians per second = 0.000072921 radians per second

Therefore, the angular speed of the earth is approximately 0.000011574 revolutions per second and 0.000072921 radians per second.