7) Water is poured to a depth of 3m into a rectangular tank with base 10x15m. What is the pressure on the base in N/m² (a) 3.0x10² (b) 3.0x10³ (c) 3.0x10⁴ (d) 4.5x10⁴
To calculate the pressure on the base of the tank, we use the formula:
Pressure = Density x Gravitational acceleration x Height
The density of water is approximately 1000 kg/m³, and the gravitational acceleration is 9.8 m/s².
Given that the height of the water is 3m:
Pressure = 1000 kg/m³ x 9.8 m/s² x 3m
Pressure = 29400 N/m²
So the pressure on the base of the tank is 2.94x10⁴ N/m².
None of the given options match exactly, but the closest option is (d) 4.5x10⁴ N/m².