Concept explainers
The sole of a man’s size-10 shoe is around 11.0 in. by 4.00 in. Determine the gauge pressure under the feet of a 200-lb man standing upright. Give your answer in both
The gauge pressure under the feet of a 200-lb man standing upright if the size of the man’s sole is around 11.0 in. by 4.00 in.
Answer to Problem 26SP
Solution:
Explanation of Solution
Given data:
The weight of the person is
The length of each foot is
The breadth of each foot is
Formula used:
Write the expression for pressure exerted by the shoe:
Here,
Write the expression of the area of one shoe:
Here,
Explanation:
Recall the expression of the area of one shoe:
Here,
Substitute
Here, the force applied by both feet is equal to the weight of the person which is equally divided on both feet. Hence, the force on one foot will be
Thus, the expression of gauge pressure under the feet of the man standing upright will be:
Here,
Substitute
Convert the pressure from
Conclusion:
Therefore, the gauge pressure under the feet of a 200-lb man standing upright is
Want to see more full solutions like this?
Chapter 13 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
- How tall must a water-filled manometer be to measure blood pressures as high as 300 mm Hg?arrow_forwardA small statue is recovered in an archaeological dig. Its weight is measured to be 96 lb, and its volume 0.08 ft3. (a) What is the statue's weight density? (b) What substance is it?arrow_forwardLiquid toxic waste with a density of 1752 kg/m3 is flowing through a section of pipe with a radius of 0.312 m at a velocity of 1.64 m/s. a. What is the velocity of the waste after it goes through a constriction and enters a second section of pipe with a radius of 0.222 m? b. If the waste is under a pressure of 850,000 Pa in the first section of pipe, what is the pressure in the second (constricted) section of pipe?arrow_forward
- A negative pressure of 25.0 atm can sometimes be achieved with the device in Figure 11.44 before the water separates. (a) To what height could such a negative gauge pressure raise water? (b) How much would a steel wire of the same diameter and length as this capillary stretch if suspended from above? Figure 11.44 (a) When the piston is raised, it stretches the liquid slightly, putting it under tension and creating a negative absolute pressure P=F/A (b) The liquid eventually separates, giving an experimental limit to negative pressure in this liquid.arrow_forwardHow tall must be to measure blood pressure as high as 300 mm Hg?arrow_forwardA tank with a flat bottom of area A and vertical sides is filled to a depth h with water. The pressure is P0 at the top surface. (a) What is the absolute pressure at the bottom of the tank? (b) Suppose an object of mass M and density less than the density of water is placed into the tank and floats. No water overflows. What is the resulting increase in pressure at the bottom of the tank?arrow_forward
- An 81.5kg man stands on a horizontal surface. (a) What is the volume of the mans body if his average density is 985 kg/m3? (b) What average pressure from his weight is exerted on the horizontal surface. If the mans two feet have a combined area of 4.50 109 m3?arrow_forwardVerigy that the SI of hpg is N/m2.arrow_forwardFind the gauge and absolute pressures in the balloon and peanut jar shown in Figure 11.16, assuming the manometer connected to the balloon uses water whereas the manometer connected to the jar contains mercury. Express in units of centimeters of water for the balloon and millimeters of mercury for the jar, taking h=0.0500 m for each. Figure 11.16 An open-tube manometer has one side open to the atmosphere. (a) Fluid depth must be the same on both sides, or the pressure each side exerts at the bottom will be unequal and there will be flow from the deeper side. (b) A positive gauge pressure Pg=hg transmitted to one side of the manometer can support a column of fluid of height h. (c) Similarly, atmospheric pressure is greater than a negative gauge pressure Pg by an amount hg .The jar's rigidity prevents atmospheric pressure from being transmitted to the peanuts.arrow_forward
- A horizontal pipe 10.0 cm in diameter has a smooth reduction to a pipe 5.00 cm in diameter. If the pressure of the water in the larger pipe is 8.00 104 Pa and the pressure in the smaller pipe is 6.00 104 Pa, at what rate does water flow through the pipes?arrow_forwardFigure 11.17 shows how a common measurement of arterial pressure is made. Is there any effect on the measured pressure if the manometer is Iowered? What is the effect of raising the arm above the shoulder? What is the effect of placing the cuff on the upper leg with me person standing? Explain your answers In terms of pressure created by the weight of a fluid. Figure 11.17 In routine blood pressure measurements, an inflatable cuff is placed on the upper arm at the same level as the heart. Blood now is detected just below the cuff, and corresponding pressures are transmitted to a mercury-filled manometer. (credit: LJ_S_ Army photo by Spc. Micah E.Clare\4TH BCT)arrow_forwardPressure in the spinal fluid is measured as shown in Figure 11.43. If the pressure in the spinal fluid is 10.0 mm Hg: (a) What is the reading of the water manometer in cm water? (b) What is the reading if the person sits up, placing the top of the fluid 60 cm above the tap? The fluid density is 1.05 g/mL. Figure 11.43 A water manometer used to measure pressure in the spinal fluid. The height of the fluid in the manometer is measured relative to the spinal column, and the manometer is open to the atmosphere. The measured pressure will be considerably greater if the person sits up.arrow_forward
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning