Converting the mass from lb to kg.
1 lb = 0.454 kg
(130 lb)(0.454 / 1 lb)
= 59.02 kg
Calculating the force excerted.
Given
- Mass (m) = 59.02 kg
- Acceleration (a) = 9.8 m/s²
- Force (F) = ?
F = ma
F = (59.02)(9.8)
F = 578.396 N
Converting the radius from in. to m.
1 in = 0.0254 m
(1 in)(0.0254 m / 1 in)
= 0.0254 m
Calculating the area of the heel of the shoe.
Assuming the shape of the heel is a circle
Given
- Radius (r) = 0.0254 m
- Area (A) = ?
Use π = 3.14
A = πr²
A = (3.14)(0.0254)²
A = (3.14)(6.4516 x 10⁻⁴)
A = 2.0258 x 10⁻³ m²
Calculating the pressure of the heel.
Given
- Force (F) = 578.396 N
- Area (A) = 2.0258 x 10⁻³ m²
- Pressure (P) = ?
P = F / A
P = 578.396 N / 2.0258 x 10⁻³ m²
P = 285514 Pa or 0.29 mPa
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