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3 years ago

Una rapidez de 7 mm/us es igual a: A) 7000m/s B) 70 m/s C) 7 m/s D) 0.07 m/s

Physics

1 answer:

Ivan3 years ago

3 0

For this conversion you should know that 1 meter has 1000 millimeters and that 1s equals 1000000 micro seconds, then:

7mm/us * 1m/1000mm * 1000000us/1s = 7000 m/s

The mm are canceled just like the micro seconds and the result remains in m / s .

Therefore option A is correct

A) 7000m / s

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Water flows in a 0.15-m-diameter vertical pipe at a rate of 0.20 m3/s and a pressure of 210 kPa at an elevation of 25 m. Determi

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Answer:

(a). The velocity head at elevation of 20 m is 6.52 m/s.

(b). The pressure head at elevation of 20 m is 26.42 m.

(c). The velocity is 6.52 m/s.

(d). The pressure head at elevation of 55 m is 16.42 m.

Explanation:

Given that,

Vertical diameter = 0.15 m

Rate =0.20 m³/s

Pressure = 210 kPa

Elevation = 25 m

We need to calculate the velocity

Using formula of velocity

$Q=vA$

$v=\dfrac{Q}{A}$

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$v=\dfrac{0.20}{\pi\dfrac{0.15^2}{4}}$

$v=11.31\ m/s$

Since, Q is constant, A is constant so v will be constant everywhere.

(a). We need to calculate the velocity head at elevation of 20 m

Using formula of velocity head

$v'=\dfrac{v^2}{2g}$

Put the value into the formula

$v'=\dfrac{11.31^2}{2\times9.8}$

$v'=6.52\ m/s$

The velocity head at elevation of 20 m is 6.52 m/s.

(b). We need to calculate pressure head at elevation of 20 m,

Using Bernoulli equation

$h+\dfrac{p}{\rho g}+\dfrac{v^2}{2g}=constant$

$h+\dfrac{p}{\rho g}=constant$

Here, velocity is constant

At h = 20 m

$20+P_{H}=25+\dfrac{210\times10^{3}}{1000\times9.8}$

$P_{H=46.42-20$

$P_{H}=26.42\ m$

The pressure head at elevation of 20 m is 26.42 m.

(c). We need to calculate the velocity head at elevation of 55 m,

The velocity is v'=6.52 m/s.

(d). We need to calculate the pressure head at elevation of 55 m

Using formula again

At h = 55 m

$h=55+P_{H}$

$55+P_{H}=25+46.42$

$P_{H}=25-55+46.42\ m$

$P_{H}=16.42\ m$

The pressure head at elevation of 55 m is 16.42 m.

Hence, this is the required solution.

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Answer:

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