Question

What is your acceleration while sitting in your chair. The
latitude of Corvallis is 44.4?. (b) What is percent difference in
the magnitude of your apparent weight due to the rotational
motion? (c) How long would a day have to be for the acceleration
to be equal in magnitude to 9.8 m/s2?

Answer 1

a)

acceleration due to gravity at any latitude is given by

here latitude

so angular speed of the earth

and radius of earth is R = 6400 * 10³ m , now plugging these values in the above equation can find acceleration

      = 9.782m/s²

b) percentage of apparent weight =

so the weight decreases apparentlyt by 0.204%

c) to have acceleration equal to 9.8 duration of the day would be 24 hours as same as that of the spining timeperiod of the earth.