Formula for Circular Motion and Tangential Speed

AI Thread Summary
To calculate the tangential speed of a mountain summit due to Earth's rotation, the formula v = ωR is used, where ω is the angular velocity and R is the radius. The angular velocity is determined using W = 2π/T, with T being the rotation period of Earth (86400 seconds). A common mistake involves using incorrect radius values; the equatorial radius should be 6379 km, converted to meters for calculations. The discussion highlights confusion over radius values and the importance of unit conversion. Ultimately, ensuring correct data input is crucial for obtaining the right answer in calculations.
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.

v=\omega R

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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