Uniform Circular motion problem

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SUMMARY

The discussion focuses on calculating the difference in linear velocity between a point at the top of a 235 m tall tower and a point at the bottom due to Earth's rotation. The radius of the Earth is taken as 6400 km, and the angular velocity is derived from the Earth's rotation period of 365 days. The calculated velocities for both points are approximately 0.2029 m/s, leading to a negligible difference of 7.45 x 10-6 m/s, indicating a misunderstanding in the calculations. The user expresses confusion regarding the correct application of the formula v = ω * r.

PREREQUISITES
  • Understanding of uniform circular motion principles
  • Familiarity with angular velocity and its calculations
  • Knowledge of unit conversions (km to m, days to seconds)
  • Proficiency in basic algebra for solving equations
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  • Review the concept of angular velocity and its application in circular motion
  • Learn about the relationship between linear velocity and radius in circular motion
  • Practice unit conversion techniques, particularly for time and distance
  • Explore examples of similar problems involving rotational motion and height differences
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Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to clarify concepts related to angular velocity and its implications in real-world scenarios.

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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