Respuesta :
It takes 1 day to complete one rotation, total angular displacement is 2Π rad. Earth angular speed is 7.2921159 x 10-5 (5 is an exponent ) rad/s
The angular speed with which the Earth spins on its axis is 6.94 × 10⁻⁴ rpm
Using the expression for Angular Velocity:
[tex]w = \frac{revolution}{Time}[/tex]
We know that, it takes 24 hours for the Earth to revolve around itself or axis
That is, it takes the Earth 24hrs ( 1 day ) to make 1 revolution
We substitute these values into the expression for Angular Velocity:
[tex]w = \frac{1\ revolution}{24hr} \\\\w = \frac{1\ revolution}{24\ *\ 60min} \\\\w = \frac{1\ revolution}{1440min}\\\\w = 0.000694 rev/min\\\\w = 6.94*10^{-4}rpm[/tex]
Therefore, the angular speed with which the Earth spins on its axis is 6.94 × 10⁻⁴ rpm
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