volume_mute
What is the pressure exerted on the floor
publish date: 2024/09/09 11:16:00 UTC
volume_muteCalculate the pressure exerted on the floor by a 200-lb man standing on both feet. if the contact area of each shoe is 3 in. by 10 in., the area of contact is 30 in.2 for each shoe.
Correct Answer
3.33 lbs/in²
Explanation
To calculate the pressure exerted on the floor, you can use the formula:
$\text{Pressure} = \frac{\text{Force}}{\text{Area}}$
Where:
- The force is the weight of the man, which is 200 lbs.
- The area is the total contact area of both shoes. Each shoe has an area of 3 in. X 10 in. = 30 in.2and since there are two shoes, the total area is::
Total area=2 X 30 in.2 = 60 in2
Now, calculate the pressure:
$\text{Pressure} = \frac{200 \text{ lbs}}{60 \text{ in}^2} = 3.33 \text{ lbs/in}^2$
So, the pressure exerted on the floor is 3.33 lbs/in².
Reference
Basic Physics: A Self-Teaching Guide