Question

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 generates electricity by flowing water down to a point 150 m below the stop, at an average flow rate of 650 m3/s.

Answer 1

The power in this flow is
`9.56*10^(8)\ W`

Step-by-step 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*9.8*150`

`Pressure=1470000\ Nm^2`

We need to calculate the power

Using formula of power

`P=Pressure* flow\ rate`

Put the value into the formula

`P=1470000*650`

`P=9.56*10^(8)\ W`

Hence, The power in this flow is
`9.56*10^(8)\ W`