Earth turns on its axis about once every 24 hours. the earth's equatorial radius is 6.38 x 106 m. if some catastrophe caused earth to suddenly come to a screeching halt, with what speed would earth's inhabitants who live at the equator go flying off earth's surface?

To solve this problem it is necessary to apply the concepts related to the Period of a body and the relationship between angular velocity and linear velocity.

The angular velocity as a function of the period is described as

Where,

Angular velocity

T = Period

At the same time the relationship between Angular velocity and linear velocity is described by the equation.

Where,

r = Radius

Our values are given as,

We also know that the radius of the earth (r) is approximately

Usando la ecuación de la velocidad angular entonces tenemos que

Then the linear velocity would be,

x

The speed would Earth's inhabitants who live at the equator go flying off Earth's surface is  463.96

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