Answer :
Answer:
Pressure applied by the man= 285103.125 [tex]Pa[/tex] or 41.35 [tex]lb/in^{2}[/tex]
Explanation:
Pressure is defined as the perpendicular force applied per unit area.
i.e. [tex]Pressure=\frac{Force}{Area}[/tex]
Now, [tex]Force= mg[/tex]
where, [tex]m[/tex] = mass of the body(man) = 93 kg
[tex]g[/tex] = acceleration due to gravity of Earth = 9.81 [tex]m/{s^{2}}[/tex]
[tex]Area[/tex] covered is equal to the area of both stilts(a man generally stands on two feet)
therefore [tex]Area=2(0.04)^{2}[/tex] [tex]m^{2}[/tex]
and putting in the values, we get,
[tex]Pressure=\frac{93\times9.81}{2\times(0.04)^{2}}Nm^{-2}=285103.125Nm^{-2}[/tex]
Now we need to convert to our required units:
[tex]1Nm^{-2}=1Pa\\1Pa=0.000145038lb/in^{2}[/tex]
(We can get the above result by individually converting kg to lb and meters to inches respectively)
Using the above relations we get,
[tex]Pressure=285103.125Pa=0.000145038\times285103.125lb/in^{2}=41.35lb/in^{2}[/tex]
Based on the formula for pressure, the pressure applied on the ground is 570206.25 N/m² or 82.7 pound per square inch
What is pressure?
Pressure is defined as the perpendicular force applied per unit area.
- Pressure = Force/Area
Also,
- Force = mg
where,
mass of the body = 93 kg
g = 9.81 m/s²
Force = 93 * 9,81
Force = 912.33 N
Area of square stilt = (0.04m)²
Area = 1.6 * 10⁻³ m²
Then;
Pressure = 912.33 N/1.6 * 10⁻³ m²
Pressure = 570206.25 N/m²
Converting to pounds per square inch:
1 pound per square inch = 6894.76 N/m²
570206.25 N/m² = 570206.25 N/m² * 1 pound per square inch/6894.76 N/m²
Pressure = 82.7 pound per square inch
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