- Force (F): Force is directly proportional to pressure provided the area is kept constant. That is, if force is increased pressure will also increase.
- Area (A): Area is inversely proportional to pressure provided the force is kept constant. That is, if area is increasing, pressure will reduce.
MAXIMUM AND MINIMUM PRESSURE
l= length
h w= width
h= height
w
l
Maximum Pressure= weightheight*width
Minimum Pressure= weightlength*width
Example: A box of dimension 8m by 6m by 2m has a mass of 480kg. Take g=10m/s², calculate the:
- Weight of the box.
- Maximum pressure exerted by the box.
- Minimum pressure exerted by the box.
Solution
- Weight= mass*gravity
But mass = 480 kg and gravity = 10m/s²
Therefore, gravity = 480kg*10m/s² = 4800N
-
2m Pmax= Weight / (h*w)
6m but h=2m, w=6m and weight=4800N
8m Pmax = 4800N / (6m*2m)= 4800/12
Pmax = 400N/m²
- Pmin = weight / (l*w) = 4800N/ (8m*6m)
Pmin = 4800N / 48m
Pmin = 100N/m²