Uniform Circular motion problem

AI Thread Summary
The discussion centers on calculating the difference in linear speed between the top and bottom of a 235 m tall tower located at the equator due to Earth's rotation. The user initially uses a radius of 6400 km for Earth and converts the rotation period of 365 days into seconds to find the angular velocity. After calculating the linear velocity at both the top and bottom of the tower, the user realizes an error in their understanding of the rotation period. The final calculated difference in speed is incorrect, leading to confusion about the methodology. The user expresses frustration over the mistake in their calculations.
SgtSniper90
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Uniform Circular motion problem!

Homework Statement


A 235 m tall tower is built on the equator. Due to the rotation of the earth, how much faster does a point at the top of the tower move than a point at the bottom (in m/s)?


Homework Equations


v=w*r (w is omega)



The Attempt at a Solution


So it didnt give me the radius of the Earth but the previous problem said it was 6400 km so i used that and converted 365 days to seconds and got 31536000. Next i tried to find the velocity of the Earth in m/s so 6400km= 6400000 m. 6400000m/31536000s. i get 0.2029426687. i do the same thing but at 235 to the radius and i get 0.2029426687. I next found the difference and get 7.45*10-6. Its not right i don't know what I am doing wrong...
 
Physics news on Phys.org


365 days for the Earth to rotate!??
 


oops I am retarded...
 
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