The rotation of the Earth affects the apparent gravitational acceleration at differ

1. Feb 16, 2012

duggielanger

1. The problem statement, all variables and given/known data
The rotation of the Earth affects the apparent gravitational acceleration at
different latitudes. At a location on the Equator, a man’s weight is registered
as 709.7 N on a set of very accurate scales. Assuming a perfectly spherical
Earth, determine what the same set of scales would register for the same
man’s weight at the North Pole

2. Relevant equations
Not sure I have used f=ma and w=mg but dont think I need these as the Earth is perfectly spherical
So it might be a=v^2/r

3. The attempt at a solution
As far as I can figure if Earth is perfectly spherical then there will be no change in weight due to the force of gravity. But maybe because of the rotation and Centrifugal force this might have a slight effect.

2. Feb 16, 2012

SammyS

Staff Emeritus
Re: The rotation of the Earth affects the apparent gravitational acceleration at dif

Correct.
So, how much effect ?

3. Feb 16, 2012

duggielanger

Re: The rotation of the Earth affects the apparent gravitational acceleration at dif

So if I find the angular velocity first ω=2∏rad/T and then v=rω^2
Plugged in values
So the force of gravity will be 0.034m/s^2 less
and then I can find the weight .
Dose this seem right

4. Feb 16, 2012

SammyS

Staff Emeritus
Re: The rotation of the Earth affects the apparent gravitational acceleration at dif

Yes, except for some units and saying force rather than acceleration .

(Corrected above)

5. Feb 16, 2012

duggielanger

Re: The rotation of the Earth affects the apparent gravitational acceleration at dif

Ok thanks A lot SammyS your help is appreciated

6. Feb 16, 2012

SammyS

Staff Emeritus
Re: The rotation of the Earth affects the apparent gravitational acceleration at dif

And ... I forgot to say,

Welcome to PF !