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Kobotan [32]
3 years ago
14

Hoover Dam on the Colorado River is the highest dam in the United States at 221m, with a power output of 680 MW. The dam generat

es electricity by flowing water down to a point 150 m below the stop, at an average flow rate of 650 m3/s.
Physics
1 answer:
DiKsa [7]3 years ago
5 0

Answer:

The power in this flow is 9.56\times10^{8}\ W

Explanation:

Given that,

Distance = 221 m

Power output = 680 MW

Height =150 m

Average flow rate = 650 m³/s

Suppose we need to calculate the power in this flow in watt

We need to calculate the pressure

Using formula of pressure

Pressure=\rho g h

Where, \rho= density

h = height

g = acceleration due to gravity

Put the value into the formula

Pressure=1000\times9.8\times150

Pressure=1470000\ Nm^2

We need to calculate the power

Using formula of power

P=Pressure\times flow\ rate

Put the value into the formula

P=1470000\times650

P=9.56\times10^{8}\ W

Hence, The power in this flow is 9.56\times10^{8}\ W

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A jet fighter flies from the airbase A 300 km East to the point M. Then 350 km at 30° West of North.
It means : at 60° North of West. So the distance from the final point to the line AM is :
350 · cos 60° = 350 · 0.866 = 303.1 km
Let`s assume that there is a line N on AM.
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And finally jet fighter flies 150 km North to arrive at airbase B.
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Then we can use the Pythagorean theorem.
d ( AB ) = √(453.1² + 125²) = √(205,299.61 + 15,625) = 470 km
Also foe a direction: cos α = 125 / 470 = 0.266
α = cos^(-1) 0.266 = 74.6°
90° - 74.6° = 15.4°
Answer: The distance between the airbase A and B is 470 km.
Direction is : 15.4° East from the North. 
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