The earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the plane of the equator. Assuming the earth is a sphere with a radius of 6.38 106 m, determine the speed and centripetal acceleration of a person situated

at a latitude of 53.0° north of the equator

The speed is cosLatitude*radiusEarth*2PI/day

Think why the cosine term is there. What would the speed be at the N Pole?

Centripetal acceleration is
v^2/(r*cosLat)

because go die in a chemical fire.