A rectangular storage tank 4 m long by 3 m wide is filled with paraffin to a depth
of 2 m. Calculate:
a) the volume of paraffin
c) the weight of paraffin
b) the mass of paraffin
d) the pressure at the bottom of the tank due
to the paraffin
Ответы
Explanation: The volume of the paraffin in the tank is 4 m * 3 m * 2 m = 24 m^3.
To find the weight of the paraffin, we need to know its density. Density is the mass per unit volume of a substance. The density of paraffin is around 860 kg/m^3. So the weight of the paraffin in the tank is 860 kg/m^3 * 24 m^3 = 20,640 kg.
The mass of the paraffin in the tank is the same as its weight, since weight is a measure of the force due to gravity on an object, and mass is a measure of the amount of matter in an object. So the mass of the paraffin in the tank is 20,640 kg.
To find the pressure at the bottom of the tank due to the paraffin, we need to know the acceleration due to gravity. This is about 9.8 m/s^2 on the surface of the Earth. The pressure at the bottom of the tank due to the paraffin is the weight of the paraffin divided by the area of the bottom of the tank, multiplied by the acceleration due to gravity. This is 20,640 kg / (4 m * 3 m) * 9.8 m/s^2 = 122,080 N/m^2.