How Does the Coriolis Effect Influence Water Drainage in a Sink?

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SUMMARY

The discussion centers on the Coriolis effect's influence on water drainage in a sink, specifically addressing a three-part homework question. The first part calculates the Earth's angular velocity as 7.27 x 10^-5 rad/s. The second part estimates the horizontal velocity of draining water at 0.04 m/s, leading to an acceleration calculation of -2wv. The third part, which remains unresolved, seeks to determine the deflection distance of the water and its impact on the drainage direction.

PREREQUISITES
  • Understanding of angular velocity calculations
  • Familiarity with the Coriolis effect in fluid dynamics
  • Basic knowledge of kinematics, particularly acceleration
  • Proficiency in applying physics equations, specifically F = -2mwv
NEXT STEPS
  • Research the mathematical derivation of the Coriolis effect in fluid systems
  • Learn about the impact of angular momentum on fluid motion
  • Explore real-world applications of the Coriolis effect in meteorology
  • Investigate the relationship between sink size and water drainage patterns
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Students studying physics, particularly those focusing on fluid dynamics and the Coriolis effect, as well as educators seeking to enhance their teaching materials on these topics.

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Homework Statement


Its a 3 part question but i think I already got the first 2 parts.

The first part was asking us to find the angular velocity of the spinning earth.
The second part was asking us to estimate the velocity of water moving horizontally in a sink as it drains. Using that we find the acceleration.

The third part is asking what the distance would the water be deflected to the right at this rate of acceleration across the size of the sink. Is this also enough to force the water to drain in a counterclockwise sense?


Homework Equations


w = delta theta/delta time to find the angular velocity
F = -2mwv to find the acceleration

But I'm stuck on what formula to use for part 3.

The Attempt at a Solution


Part 1: w = 2pie/(24x60x60) = 7.27x10^-5
Part 2: a = -2wv using w from part 1 and v I estimated at 0.04 m/s
Part 3: stuck =/

Any help is appreciated.. thanks!
 
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