A rectangular storage tank 4m long by 3m wide is filled with paraffin to a depth of 2m calculate volume of paraffin mass of paraffin weight of paraffin pressure at the bottom of the tank due to the paraffin
the area of the base is 12 m^2
The volume of paraffin is 2*2 = 24 m^3
weight = density * volume
pressure (N/m^2) = weight/area
Rectangular storage tank 4 m long , 3 m wide and 2 m deep is filled to the brim with paraffin (p = 800 kg m ) .
Calculate the volume of paraffin
To calculate the volume of paraffin in the tank, we need to multiply the length, width, and depth of the tank.
Volume of the tank = Length × Width × Depth
= 4m × 3m × 2m
= 24 cubic meters
So, the volume of paraffin in the tank is 24 cubic meters.
To calculate the mass of the paraffin, we need to know the density of paraffin. Let's assume that the density of paraffin is 900 kg/m³.
Mass of paraffin = Volume × Density
= 24 cubic meters × 900 kg/m³
= 21,600 kg
So, the mass of the paraffin in the tank is 21,600 kg.
To calculate the weight of the paraffin, we need to multiply the mass by the acceleration due to gravity. The average acceleration due to gravity is approximately 9.8 m/s².
Weight of paraffin = Mass × Acceleration due to gravity
= 21,600 kg × 9.8 m/s²
= 211,680 N (Newtons)
So, the weight of the paraffin in the tank is 211,680 Newtons.
Lastly, to calculate the pressure at the bottom of the tank due to the paraffin, we use the formula:
Pressure = Weight / Area
Assuming the tank bottom area is the same as its length and width (4m × 3m),
Pressure = 211,680 N / (4m × 3m)
= 17,640 Pa (Pascals)
So, the pressure at the bottom of the tank due to the paraffin is 17,640 Pascals.