Question

(a) What is the angular speed ω about the polar axis of a point on the Earth's surface at a latitude of 10° N? (Earth rotates about that axis.)
rad/s

(b) What is the linear speed v of the point?
m/s

(c) What is ω for a point at the equator?
rad/s

(d) What is v for a point at the equator?
m/s

Answer 1

Assumptions:-

Radius fo the earth   or  

It completes one rotation per stellar day is or  

Part-a

Angular speed will be  

Part-b

At the given point the radius will be  

Now the linear speed at this point will be

by plugging all the values we get

Part-c

The angular speed at all points on the Earth's surface will remain same therefore the angular speed at equator will be

Part-d

The linear velocity at equator will be