Formula for Circular Motion and Tangential Speed

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Homework Help Overview

The problem involves calculating the tangential speed of a mountain summit due to the Earth's rotation, with specific parameters including the Earth's rotation period and the mountain's elevation above sea level.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the formula for tangential speed and its components, including the angular velocity and radius. There are attempts to apply dimensional analysis and the formula v=ωR, but confusion arises regarding the radius value used.

Discussion Status

Some participants have provided guidance on using the formula, while others express uncertainty about the radius values and their implications for the calculations. There is no clear consensus on the correct approach or values to use, and multiple interpretations of the problem are being explored.

Contextual Notes

Participants note discrepancies in the radius values provided, which may affect the calculations. There is also mention of specific requirements from an online homework platform that may complicate the discussion.

vwillis
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Homework Statement


The Earth rotates on its own axis once per day (24.0 hr). What is the tangential speed of the summit of a mountain (elevation 6409 m above sea level), which is located approximately on the equator, due to the rotation of the Earth? Take the equatorial radius of Earth to be 6379 km

I'm looking for the formula to help solve this problem
 
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This is a very straightforward problem. You could use dimensional analysis to solve it in your head.

[tex]v=\omega R[/tex]

You do the rest!
 
I used that formula it didnt accept my answer.
v=WR
W=2pi/T
W=2pi/86400s

V=.000074*63979
.463894
I won't accept that onwebassign.net
 
Where did you get that weird radius from?

63979
 
i meant to say 6379
 
Look at your data again, the radius is still weird.
 
Its correct i just don't know what to do
 
Why are you given two radiuses then?

Good night!
 
nvrminf thanks so much.. i forgot to change the radius to m
 

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