Question

In a water tank with dimensions 3m x 2m x 1m, what is the pressure exerted by the water when it is half filled?

a) 4.9 kPa
b) 9.8 kPa
c) 19.6 kPa
d) 29.4 kPa

Answer 1

The pressure exerted by the water when it is half filled in the given water tank is 4.9 kPa.

Step-by-step explanation:

When a fluid is at rest, the pressure at any point is directly related to the depth of the fluid above it. This is known as hydrostatic pressure.

In this case, the water tank is half-filled, so the depth of the water is 0.5m. We can use the formula:

Pressure = Density x Gravity x Depth

Plugging in the values for water density (1000 kg/m³) and gravity (9.8 m/s²), we can calculate the pressure:

Pressure = 1000 kg/m³ x 9.8 m/s² x 0.5 m = 4900 N/m² = 4.9 kPa

Therefore, the pressure exerted by the water when it is half filled is 4.9 kPa (option a).