Find the pressure exerted by a waterbed with dimensions of 2m x 2m which is 30 cm thick. (hint:use density of water)
P=F/A
PRESSURE OF LIQUID = pGH
ALWAYS GRAVITY IS =10
p IN THE PRESSURE OF LIQUID FORMULAE IS RHO OR DENSITY
HEIGHT= 30 CM IN M IS 0.3
SO WHEN WE HAVE ARE DENSITY , GRAVITY, HEIGHT WE ALSO HAVE A LENGHT AND WIDTH WHICH ARE 2M*2M SO WE HAVE DERIVED A FORMULAE WHICH IS
PRESSURE = PGH*A
SO = (1000*10*0.3)*2*2
SO = (1000*10*0.3)*4
SO = (10000*0.3)*4
SO = 300*4
YOUR ANSWER IS = 1200
To find the pressure exerted by the waterbed, we can use the formula:
Pressure = Force / Area
where Force is the weight of the water on the bed and Area is the surface area of the bed.
First, let's calculate the weight of the water on the bed. We need to know the volume of the water, and since the waterbed has dimensions of 2m x 2m and is 30cm thick, we can find the volume using the equation:
Volume = Length x Width x Height
In this case, the length is 2m, the width is 2m, and the height is 30cm, which is equivalent to 0.3m.
So, the volume of the water is:
Volume = 2m x 2m x 0.3m = 1.2 cubic meters
Next, we need to calculate the weight of the water. The weight of an object is given by its mass multiplied by the acceleration due to gravity. The density of water is approximately 1000 kg/m^3, so the mass is:
Mass = Density x Volume
Mass = 1000 kg/m^3 x 1.2 cubic meters = 1200 kg
The weight is:
Weight = Mass x Acceleration due to Gravity
Acceleration due to Gravity is approximately 9.8 m/s^2
Weight = 1200 kg x 9.8 m/s^2 = 11760 N
Now, let's calculate the surface area of the bed. Since the bed has dimensions of 2m x 2m, the area is:
Area = Length x Width = 2m x 2m = 4 square meters
Finally, we can calculate the pressure exerted by the waterbed using the formula:
Pressure = Weight / Area
Pressure = 11760 N / 4 square meters
Pressure = 2940 Pascal (Pa)
Therefore, the pressure exerted by the waterbed is 2940 Pascal (Pa).
The pressure does not depend upon the waterbed area.
Calculate (water density)*g*(thickness)
1000*9.8*0.30 = _____. N/m^2