Calculate the acceleration due to the rotation of the Earth of a person in a location 48° northern geographical latitude. Use REarth = 3,678 km for the value of the radius of the Earth.
well, the radius of rotation at 48N, is
r=3678*Cos48 km
so a= w^2 r = (2PI/time)^2 * 3.678E6 *cos48
for time, that is the number of seconds in one day.