what frequency of rotation, in rpm , is required to give an acceleration of 1.4 g to an astronaut's feet, if her feet are 1.1 m from the platform's rotational axis?

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The frequency of the rotation having a radius of 1.1 m is 3.53 rpm

The rotational acceleration = 1.4 g

The radius of the rotation = 1.1 m

The frequency of the rotation can be found using the formula,

         ω = √(α/r)

where ω is the frequency of the rotation

           α is the acceleration of the rotation

           r is the radius of the rotation

Let us substitute the known values in the above equation, we get

     

       ω = √ (1.4 x 9.8 / 1.1 )

           = √ (13.72 / 1.1)

           = √12.47

       ω = 3.53

Therefore the frequency of the rotation is 3.53 rpm

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