# How fast would something have rotate in order to create earth like gravity from centrifugal force?

Feb 3, 2016

The rotational speed will vary depending on the radius of the object imparting the artificial gravitational field.

#### Explanation:

From the physics laws governing rotational and orbital motion, the centripetal Force =$m {w}^{2} r$.

If we want the same gravitational acceleration as on planet Earth then the rotational speed $w = \sqrt{{a}_{R} / r}$

Where $w$ - radians /s
${a}_{R} = 9.8 \frac{m}{s} ^ 2$
r - radius of the rotating object in metres.

To express the angular rotation in revolutions per sec we can use the relationship that 1 radian is equivalent to $2 \pi$ revolutions
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