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

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The discussion focuses on understanding the Coriolis effect's influence on water drainage in a sink. The first two parts of the homework involve calculating the Earth's angular velocity and estimating the horizontal velocity of draining water to find its acceleration. The third part requires determining the distance the water is deflected to the right due to this acceleration and whether this deflection contributes to a counterclockwise drainage pattern. The participant has successfully completed the first two parts but is seeking assistance with the calculations for the third part. Overall, the Coriolis effect's role in fluid dynamics is central to the inquiry.
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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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Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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