Question

The water behind Grand Coulee Dam is 1000 m wide and 200 m deep. Find the hydrostatic force on the back of the dam. (Hint: the total force = average pressure × area)

Answer 1

The hydro static force on the back of the dam is
`1.96*10^(11)\ N`

Step-by-step explanation:

Given that,

Width b= 1000 m

Depth d= 200 m

We need to calculate the average pressure

Using formula of average pressure

`P_(avg)=\rho* g* d_(avg)`

Put the value into the formula

`P_(avg)=1000*9.8*100`

`P_(avg)=980000\ Pa`

We need to calculate the hydro static force on the back of the dam

Using formula of force

`F = P_(avg)* A`

Put the value into the formula

`F = 980000*1000*200`

`F=1.96*10^(11)\ N`

Hence, The hydro static force on the back of the dam is
`1.96*10^(11)\ N`