A tank 4m long, 3m wide and 2m is filled to the brim with paraffin. (density 800kg /m3) calculate the pressure on the base.
pressure=weight/area
= 24m^3*800kg/m^3*9.8N/kg *1/12m^2
= 2*800*9.8 Pascals
Thanks alot it really helped me and I found this very helpful but can you do me a favour and please tell me how you had 9.8N/Kg
9.8N/Kg is the gravitational field strength of the Earth to two significant figures. Hope this helps!
why is the gravitational field strength sometimes 9.8 and sometimes 10?? like its different in some of my equations?
Well, it seems like this tank is really "fueled" up with paraffin! To calculate the pressure on the base, we need to consider the weight of the paraffin above it. So, let's first start by finding the mass of the paraffin:
Volume of the tank = Length x Width x Height
Volume of the tank = 4m x 3m x 2m
Volume of the tank = 24m³
Mass of the paraffin = Density x Volume
Mass of the paraffin = 800kg/m³ x 24m³
Mass of the paraffin = 19,200kg
Now, to calculate the pressure on the base, we use the formula:
Pressure = Force / Area
The force exerted by the paraffin on the base is equal to its weight, so:
Force = Mass x Gravitational Acceleration
Force = 19,200kg x 9.8m/s²
Force = 188,160N
The area of the base is given by:
Area = Length x Width
Area = 4m x 3m
Area = 12m²
Now we can calculate the pressure:
Pressure = Force / Area
Pressure = 188,160N / 12m²
Pressure ≈ 15,680Pa
So, the pressure on the base of the tank, caused by the paraffin, is approximately 15,680 Pascals. Just be careful not to put too much "pressure" on the tank when you're using it!
To calculate the pressure on the base of the tank, we need to use the formula:
Pressure = Density × Acceleration due to gravity × Height
In this case, the height would be the depth of the paraffin in the tank, which is equal to the height of the tank itself.
Given:
Length of tank (L) = 4m
Width of tank (W) = 3m
Height of tank (H) = 2m
Density of paraffin (ρ) = 800 kg/m^3
Acceleration due to gravity (g) = 9.8 m/s^2
First, let's calculate the volume of the tank using its dimensions:
Volume = Length × Width × Height
Volume = L × W × H
Volume = 4m × 3m × 2m
Volume = 24m^3
Now, let's calculate the pressure on the base:
Pressure = Density × Acceleration due to gravity × Height
Pressure = ρ × g × H
Pressure = 800 kg/m^3 × 9.8 m/s^2 × 2m
Calculating this:
Pressure = 15680 Pa
Therefore, the pressure on the base of the tank is 15680 Pascals (Pa).