Consider that the length of the equator is 40,000 km, and that the earth makes a complete rotation in 24 hours. (a) Calculate the value of the effective gravitational acceleration at a point on the...

Consider that the length of the equator is 40,000 km, and that the earth makes a complete rotation in 24 hours.

(a) Calculate the value of the effective gravitational acceleration at a point on the earth’s surface, whose inclination angle (latitude) is 30°

(b) Provide the two equations of motion, based on Eq. (2.7.20), for a two-dimensional horizontal flow at a point on the ocean with an inclination angle of 30°.