A large tank of height h= 1 m and diameter D = 0.75 m is fixed on a cart, as shown in the sketch below. Water exits from the tank through a nozzle of diameter d = 15 mm. The speed of the liquid leaving the tank is approximately: V = V2gy, where y is the height from the nozzle to the free surface. Determine the tension in the wire when y = 0.9 m. A) Plot the tension in the wire as a function of water depth for: 0 < y < 0.9

the tension in the wire =

Explanation:

Parameters given include:

The height of the large tank = 1 m

Diameter D = 0.75 m

diameter of the nozzle where the water exit d = 15 mm = 0.015 m

The flow speed at the exit of the tank  

The first diagram shown in the attached file depicts and illustrate the sketch of the large tank that is fixed on the cart.

Now; using the x component of the momentum equation from the diagram; we have;

For steady flow:

So:

T = u{║ρV₁A₁║}

T = ρV₁²A₁

where:

T =ρgy

replacing y= 0.9 m

The tension of the wire is:

T = 999 × 9.81 × 0.9 ×

T =

Hence, the tension in the wire =

The schematic graphical representation showing the plot of the  tension in the wire as a function of water depth for: 0 < y < 0.9 can be found in the document file attached below.

hi

explanation: