What is the Acceleration at a Point on Earth's Surface at a Given Latitude?

In summary, the conversation discusses the acceleration at a point on the surface of the Earth at a certain latitude from the equator. The acceleration is influenced by the rotation of the Earth and can be calculated using the centripetal acceleration formula. The provided hints suggest looking at circular motion problems for further understanding.
  • #1
syang9
61
0
"show that a point on the surface of the Earth at latitude theta from the equator has an acceleration of magnitude 3.37cm/s^2*cos(theta) relative to a reference fram not rotating with the earth."

i really have no idea how to approach this problem. i don't really understand why the acceleration at a point above or below the equator should be different than the acceleration at the equator. could anyone provide a hint or two as to how i should start?

many thanks.
 
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  • #2
Hint1: Centripetal acceleration.
Hint2: Distance from the axis of rotation.
 
  • #4
thanks a lot guys, you were a lot of help!
 

Related to What is the Acceleration at a Point on Earth's Surface at a Given Latitude?

1. What is circular motion?

Circular motion is the movement of an object along a circular path. It occurs when the object's velocity is constantly changing due to a continuous acceleration towards the center of the circle.

2. How is circular motion different from linear motion?

Circular motion is different from linear motion in that the object's velocity is constantly changing in direction in circular motion, while in linear motion the velocity remains constant in both magnitude and direction.

3. What is centripetal force and how does it relate to circular motion?

Centripetal force is the force that keeps an object moving in a circular path. It is directed towards the center of the circle and is necessary to maintain the object's circular motion.

4. How do you calculate the speed of an object in circular motion?

The speed of an object in circular motion can be calculated by dividing the distance traveled along the circular path by the time it takes to travel that distance. This is also known as the object's linear speed.

5. What is the difference between angular velocity and linear velocity in circular motion?

Angular velocity is the rate at which an object rotates around a fixed point, while linear velocity is the rate at which the object moves along its circular path. They are related by the equation v = rω, where v is linear velocity, r is the radius of the circle, and ω is angular velocity.

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