Physics problem: (speed of a point on earth)

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Homework Help Overview

The discussion revolves around calculating the speed of a point on the Earth's surface due to its rotation, specifically at the equator and at a latitude of 45 degrees North. The problem involves concepts from rotational motion and geometry.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply formulas related to speed and acceleration, questioning the use of the radial acceleration equation and the formula for linear speed. Some participants question the appropriate radius to use for calculations at different latitudes.

Discussion Status

The discussion is active, with participants exploring different approaches to determine the radius at 45 degrees latitude. Guidance has been offered regarding the use of trigonometry to find the necessary radius, indicating a productive direction in the conversation.

Contextual Notes

There is an emphasis on using the correct radius for calculations, and participants are considering the implications of latitude on the radius used in their formulas. The problem is framed within the constraints of a homework assignment, which may influence the methods discussed.

lmf22
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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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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.)
 
How do I figure out the radius at 45 degress latitude?
 
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.
 

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