Physics problem: (speed of a point on earth)

In summary, the conversation discusses calculating the speed of a point on the equator and at a latitude of 45 degrees N due to Earth's rotation. The use of the radial acceleration and speed equations are mentioned, along with the suggestion to use the correct radius and a trigonometric method to find the radius at 45 degrees latitude.
  • #1
lmf22
26
0
What is the speed of a point on the equator of the Earth due to Earth's daily rotation?

What is the speed of a point at latitude of 45 degrees N?

Can I use the radial acceleration equation:
a = (V^2) / r

or

v = (2*pi*r) / period
where period = 24 hours = 86400s
 
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  • #2
Well... since the problem asks for speed, don't you think you should use the formula for speed? :smile: (Be sure to use the correct radius.)
 
  • #3
How do I figure out the radius at 45 degress latitude?
 
  • #4
Draw yourself a picture. You'll find a right triangle whose hypotenuse is the radius of the earth. One of the sides is the radius you want. Use some trig.
 

1. What is the speed of a point on Earth?

The average speed of a point on Earth is approximately 1,040 miles per hour due to the Earth's rotation on its axis. However, this speed can vary depending on the location and latitude of the point.

2. How is the speed of a point on Earth calculated?

The speed of a point on Earth is calculated using the formula v = rω, where v is the linear speed, r is the radius of the Earth at the given point, and ω is the angular velocity of the Earth's rotation. The angular velocity of the Earth is approximately 0.00007272 radians per second.

3. Does the speed of a point on Earth affect its weight?

No, the speed of a point on Earth does not affect its weight. Weight is determined by the mass of an object and the force of gravity acting on it, which is constant on Earth regardless of speed.

4. How does the speed of a point on Earth change with latitude?

The speed of a point on Earth decreases as the latitude increases. This is because points closer to the equator have a larger radius and therefore a greater distance to travel in one rotation compared to points closer to the poles.

5. How does the speed of a point on Earth affect time?

The speed of a point on Earth does not directly affect time. However, time can be affected by the Earth's rotation, which is related to the speed of a point on Earth. The faster the speed of a point, the shorter the length of a day will be, and vice versa.

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