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3 years ago

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A trout jumps, producing waves on the surface of a 0.8-mdeep mountain stream. If it is observed that the waves do not travel ups

tream, what is the minimum velocity of the current?

1 answer:

alina1380 [7]3 years ago

5 0

Answer:

The value is $v = 2.8 \ m/s$

Explanation:

From the question we are told that

The depth of the mountain is $d = 0.8 \ m$

Generally the velocity of the surface wave is mathematically represented as

$v = \sqrt{ g * d }$

=> $v = \sqrt{ 9.8 * 0.8 }$

=> $v = 2.8 \ m/s$

Generally using the Froude number is mathematically represented as

$Fr = \frac{ V }{ v }$

Here V is the velocity of the current

Given that the waves do not travel upstream, then the flow of the current is supercritical which means that

$\frac{ V }{ v } > 1$

=> $V > v$

=> $V > 2.8 \ m/s$

Hence the minimum velocity of the current is

$v = 2.8 \ m/s$

This because the velocity of the current is greater velocity of the surface wave , so minimum will be like the lowest possible value of V which is v

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2 years ago

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Answer:

$\frac{D}{d} = 4.12$

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here we know that

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