How fast would Earth need to spin before we fall off at latitude 53?

[rugby123]

Homework Statement

the Earth's gravitational field is sufficiently strong enough to keep us on it- even though we are traveling in a circle on its surface. But how fast would we be spinning before we started to fall off? What about at latitude 53 (UK)? and how long would a day be?

Homework Equations

w=theta/time
w=v/r

The Attempt at a Solution

i got 59 minutes for the day using 2pi/1.75x10-3

 

[gneill]

Is that your result for the equator or the UK latitude?

Either way, it doesn't look right to me. Can you show your work?