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Water is collecting in a bucket during a steady downpour. Will the rate at which the bucket is filling change if a steady horizontal wind starts to blow?

Water is collecting in a bucket during a steady downpour. Will the rate at which the bucket is filling change if a steady horizontal wind starts to blow?

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
6 years ago
Assume that the water falls with zero initial speed, the time taken by the water to fall in the bucket would only depend on the acceleration due to gravity and the height from which the water falls.
When the wind blows in the horizontal direction at constant speed, the water will gain a horizontal component of velocity in addition to the vertical acceleration, and instead of falling vertically downward, the water will fall in a parabolic path. However, the rate at which the water falls will not get affected because the change in water concentration in bucket would still remain the same.
As stated above, the water in both the cases fall from the same height and with same vertical component of initial velocity, therefore the time taken by the water to reach the bucket would not change. It is important to note that the wind just changes the trajectory of the water but not the time of its flight. Therefore the rate at which the water fills the bucket does not change.

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