Calculate the average pressure at the bottom of the women’s high-heeled dress shoe and a women’s athletic walking shoe.
Answer to Problem 15P
The average pressure at the bottom of the women’s high-heeled dress shoe is
The average pressure at the bottom of the women’s athletic walking shoe is
Explanation of Solution
Given information:
Weight of the women is
Calculation:
The weight of the women is carried by both shoes. Hence, the weight (Force) acting on each shoe is as follows:
Sketch the profile of high-heeled dress shoe in inches as shown in Figure 1.
Refer to Figure 1.
The profile of contact area is divided into two equal parts and each part is divided into 8 trapezoids of equal heights.
Consider the area of top portion as
Apply trapezoidal rule as shown below.
Calculate the area of top portion
Calculate the area of bottom portion
Calculate the total area of high-heeled dress shoe as shown below.
Substitute
Calculate the average pressure at the bottom of high-heeled dress shoe as shown below.
Substitute
Hence, the average pressure at the bottom of the women’s high-heeled dress shoe is
Sketch the profile of athletic walking shoe in inches as shown in Figure 2.
Refer to Figure 2.
The profile of contact area is divided into two equal parts and each part is divided into 12 trapezoids of equal heights.
Consider the area of top portion as
Calculate the area of top portion
Calculate the area of bottom portion
Calculate the total area of athletic walking shoe as shown below.
Substitute
Calculate the average pressure at the bottom of athletic walking shoe as shown below.
Substitute
Therefore, the average pressure at the bottom of the women’s athletic walking shoe is
Want to see more full solutions like this?
Chapter 7 Solutions
Mindtap Engineering 2 Terms (12 Months) Printed Access Card For Moaveni's Engineering Fundamentals: An Introduction To Engineering, 5th (activate Learning With These New Titles From Engineering!)
- The wall thickness of a 3-ft diameter spherical tank is 3/4 in. Calculate the allowable internal pressure if the stress is limited to 7 ksi. CHOISES ARE: 583.333 psi 156.25 psi 208.333 psi 222.222 psi 300 psi 243.056 psi 166.667 psiarrow_forwardShow complete solution. Please include the diagram if necessary, given, find, and solution. A large, open cylindrical tank is 18.0 feet deep having a radius of 7.00 feet is layered with 6.00 feet of water (SG = 1.00) 8.00 feet of oil (SG = 0.650) and 4.00 feet of mercury (SG = 13.6). Compute the pressure (psi) at the bottom of each layer.arrow_forwardWater flows through a horizontal pipe at a rate of 2.4 gallons per second. The pipe consists of two section of diameters 4 inches and 2 inches in a reducing section. The pressure difference between the two pipe sections is measured by a mercury manometer. Neglecting frictional effects and taking the specific gravity of mercury as 3.56, determine the manometer reading h.arrow_forward
- The measured distance of two locations is 88.812 m using a 100 m. steel tape at a pull of 15 kg and temperature of 35 °C. The tape is exactly 100 m., weighing 0.02 kg/m, at a temperature of 20 °C (when supported throughout) and a standard pull of 12 kg. If the coefficient of expansion of the tape is 11.6 x10°/°€ and supported at L. = 40 m. interval during the measurement, find the following: a.) Total correction tor temperature b.) Total sum of correetion for sag from 0 to 88.812 m at 40 m interval. c.) Adjusted distancearrow_forwardIn a falling head permeability test, head causing flow was initially 50 cm and it drops 2 cm in 5 minutes. How much time in minutes required for the head to fall to 25 cm ? Provide a diagram. a.49.4 b.89.4 c.98.4 d.84.9arrow_forwardPROBLEM 1: Both a gage and a manometer are attached to a tank to measure pressure. Given the reading on the pressure gage, determine the differential height h of the mercury column.arrow_forward
- Determine the pressure required to reduce the given volume of water by 1 % (Bulk modulus or water=2x108 N/m2)arrow_forwardTo measure a base line, a steel tape 30 m long, standardised at 15º C with a pull of 80 N was used. Find the correction per tape length, if the temperature at the time of measurement is 25º C and the pull exerted is 150 N. Take Young’s modulus E = 2 × 10^5 N/mm2 and coefficient of thermal expansion α = 11.2 × 10^6/°C. Cross-sectional area of tape is 8 mm2.arrow_forwardA. Determine the magnitude of the hydrostatic force acting on the gate using the HYDROSTATIC PANEL EQUATIONS. Express your answer in kN. B. Determine the minimum force P required to open the seawater gate. Express your answer in kN. Show complete solution (Round off ONLY the final result to three decimal places. Indicate the unit of your final answer)arrow_forward
- 1. Briefly discuss the significance of determining falling head permeability (hydraulic conductivity). 2. Briefly discuss the relationship of Darcy’s law and constant head test.arrow_forwardAn illegal connection was observed on a 300 mm diameter horizontal pipe. Upstream from the connection two gages 600 m apart showed a pres- sure difference of 140 kPa. Downstream from the connection two gages 600 m apart showed a pressure difference of 116 kPa. How much oil (sp.gr.=0.8450) is being stolen due to the illegal connection? Assume loss of head ranging from 40% - 50 % of velocity head for every 50 m. (PLEASE INCLUDE COMPLETE SOLUTION) USE BERNOULLI'S ENERGY EQUATIONarrow_forwardWhat is the mass (lbm) of an object that has a base area of 4 inch2 which exerts a pressure of 25 psi? 2.) Determine the dynamic viscosity (Pa-sec) and kinematic viscosity (m2/s) of water with a specific weight of 9.81 kN/m3, if a Falling Sphere Viscosimeter test is conducted using an aluminum sphere that has a diameter of 10 mm and a specific weight of 28.06 kN/m3. The theoretical terminal velocity of the sphere is 0.650 m/s. Round off your answer to 3 decimal places. 3.) Given the water tank A in an orifice setup that transfers water to tank B, determine the theoretical and actual velocity and flow rate if the time it takes to fill up tank B is 20 sec. 4.) Given the computed velocities and flow rates in Question 3, determine the coefficient of contraction, velocity, and discharge. Assume the diameter of vena contracta to be 4mmø.arrow_forward
- Engineering Fundamentals: An Introduction to Engi...Civil EngineeringISBN:9781305084766Author:Saeed MoaveniPublisher:Cengage Learning