The heels on a pair of women's shoes have a radius of 5 cm at the bottom. if 30% of the weight of a woman 480N is supported by each heel, find the stress on each hee.
.3 * 480 N = force on a heel
area of heel = pi (.05)^2
compressive stress = force/area
in Newtons/meter^2 which is Pascals
I am assuming the heel is round and not for example semicircular.
Why did the shoe go to therapy? Because it had a lot of heel-related stress!
To find the stress on each heel, we'll use the equation:
Stress = Force / Area
First, let's find the force exerted by each heel. Since 30% of the woman's weight is supported by each heel, we'll have:
Force = 0.3 * 480N = 144N
Now, let's calculate the area of the heel. Assuming the heel is in the shape of a cylinder, we can use the formula:
Area = π * radius^2
Area = π * (5cm)^2 = 25π cm^2
Finally, we can substitute the values into the stress equation:
Stress = 144N / 25π cm^2
I'm sure you're thinking that this equation is looking a bit too "heelish" for comfort. But don't worry, I'll crunch the numbers for you:
Stress ≈ 1.83 N/cm^2
So, the stress on each heel is approximately 1.83 N/cm^2. But remember, this calculation assumes ideal conditions and doesn't take into account factors like material properties and distribution of forces, so take it with a pinch of clown humor!
To find the stress on each heel, we need to calculate the force exerted on each heel.
Given:
Weight of the woman = 480N
Percentage of weight supported by each heel = 30%
Step 1: Calculate the weight supported by each heel.
Weight supported by each heel = (30/100) * 480N = 0.30 * 480N = 144N
Step 2: Calculate the area of the bottom of each heel.
The radius of each heel = 5 cm = 0.05 m
Area of the bottom of each heel = π * (radius)^2
= π * (0.05 m)^2
Step 3: Calculate the stress on each heel.
Stress = Force / Area
Stress on each heel = Weight supported by each heel / Area of the bottom of each heel
Substituting the values:
Stress on each heel = 144N / (π * (0.05 m)^2)
Using the value of π as approximately 3.14, the calculation is as follows:
Stress on each heel = 144N / (3.14 * 0.05 m * 0.05 m)
Thus, the stress on each heel is equal to the result calculated.
To find the stress on each heel, we need to determine the force exerted on each heel.
First, let's find the weight supported by each heel. We are told that 30% of the woman's weight is supported by each heel. So, we can find the weight supported by each heel by multiplying the woman's weight by 30%:
Weight supported by each heel = 30% * 480N = 0.30 * 480N = 144N
Next, we need to find the area of each heel in order to calculate the stress. To do this, we need to determine the area of a circle with a radius of 5 cm.
Area of a circle = π * radius^2
Area of each heel = π * (5 cm)^2 = π * (25 cm^2) = 25π cm^2
Now we can calculate the stress on each heel by dividing the force exerted on each heel by the area of each heel:
Stress on each heel = (Weight supported by each heel) / (Area of each heel)
Stress on each heel = 144N / (25π cm^2)
Therefore, the stress on each heel is 144N / (25π cm^2).
Hi farid! I have answers for you, I dont know how to upload images so i just made a youtube video for you!
youtu.be/dQw4w9WgXcQ
Hope this helps!