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

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 $9.56\times10^{8}\ W$