PleSe show wor **Title: Calculating Net Force on Airplane Wings Using Bernoulli's Principle****Introduction:**In this problem, we are given the specifications of an airplane's wings and are required to determine the net force on these wings due to the Bernoulli effect. **Problem Statement:**An airplane has two wings, each with an area of 75 m². Air flows over the top of the wings at 200 m/s and under the wings at 180 m/s. What is the net force on the wings due to the Bernoulli effect? (Assume the density of air is 1.20 kg/m³).**Solution:**To find the net force on the wings, we can use Bernoulli's equation which relates the pressure difference over the wings to the velocities of the airflows above and below the wings.**Step-by-Step Calculation:**1. **Calculate the pressure difference across the wings:** Bernoulli's equation states that for an incompressible, frictionless fluid, the following relationship holds: \[ P + \frac{1}{2} \rho v^2 = \text{constant} \] By considering the airflow above and below the wings: \[ P_{\text{top}} + \frac{1}{2} \rho (v_{\text{top}})^2 = P_{\text{bottom}} + \frac{1}{2} \rho (v_{\text{bottom}})^2 \] Rearrange to find the pressure difference (\( \Delta P \)): \[ \Delta P = P_{\text{bottom}} - P_{\text{top}} = \frac{1}{2} \rho [(v_{\text{top}})^2 - (v_{\text{bottom}})^2] \] Substitute the given values (\( \rho = 1.20 \, \text{kg/m}^3 \), \( v_{\text{top}} = 200 \, \text{m/s} \), \( v_{\text{bottom}} = 180 \, \text{m/s} \)): \[ \Delta P = \frac{1}{2} \times 1.20 \, \text{kg/m}^3 \times [(200 \, \text{m/s})^2 - (180 \

Name: PleSe show wor **Title: Calculating Net Force on Airplane Wings Using
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: PleSe show wor **Title: Calculating Net Force on Airplane Wings Using Bernoulli's Principle****Introduction:**In this problem, we are given the specifications of an airplane's wings and are required to determine the net force on these wings due to th

Bernoulli's principle states that an enlarge the speed of a fluid happens continuously with a…

Science

Physics

An airplane has two wings with an area of 75 m² each. Air flows over the top at 200 m/s and under the wings at 180 m/s. What is the net force on the wings due to the Bernoulli effect? (Take density of air 1.20 kg/m³)

An airplane has two wings with an area of 75 m² each. Air flows over the top at 200 m/s and under the wings at 180 m/s. What is the net force on the wings due to the Bernoulli effect? (Take density of air 1.20 kg/m³)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter9: Fluids And Solids

Section: Chapter Questions

Problem 47P: Old Faithful geyser in Yellowstone Park erupts at approximately 1-hour intervals, and the height of...

See similar textbooks

Similar questions

The alveoli in emphysema victims are damaged and effectively form larger sacs. Construct a problem in which you calculate the loss of pressure due to surface tension in the alveoli because of their larger average diameters. (Part of the lung's ability to expel air results from pressure created by surface tension in the alveoli.) Among the things to consider are the normal surface tension of the fluid lining the alveoli, the average alveolar radius in normal individuals and its average in emphysema sufferers.
A 62.0-kg survivor of a cruise line disaster rests atop a block of Styrofoam insulation, using it as a raft. The Styrofoam has dimensions 2.00 m 2.00 m 0.090 0 m. The bottom 0.024 m of the raft is submerged. (a) Draw a force diagram of the system consisting of the survivor and raft. (b) Write Newtons second law for the system in one dimension, using B for buoyancy, w for the weight of the survivor, and wr for the weight of the raft. (Set a = 0.) (c) Calculate the numeric value for the buoyancy, B. (Seawater has density 1 025 kg/m3.) (d) Using the value of B and the weight w of the survivor, calculate the weight w, of the Styrofoam. (e) What is the density of the Styrofoam? (f) What is the maximum buoyant, force, corresponding to the raft being submerged up to its top surface? (g) What total mass of survivors can the raft support?
Old Faithful geyser in Yellowstone Park erupts at approximately 1-hour intervals, and the height of the fountain reaches 40.0 m (Fig. P9.47). (a) Consider the rising stream as a series of separate drops. Analyze the free-fall motion of one of the drops to determine the speed at which the water leaves the ground. (b) Treat the rising stream as an ideal fluid in streamline flow. Use Bernoullis equation to determine the speed of the water as it leaves ground level. (c) What is the pressure (above atmospheric pressure) in the heated underground chamber 175 m below the vent? You may assume the chamber is large compared with the geyser vent.
Case Study Shannon uses the example of a helium balloon to explain the buoyant force. Large helium blimp balloons are sometimes used as an advertisement (Fig. P15.78). The blimp balloon has a volume of 42.8 m3, and the mass of the empty blimp is 13.6 kg. It is held down by either a large-link steel chain or a large-link aluminum chain. Each link of steel has a mass of 2.6 kg, and each link of aluminum has a mass of 0.87 kg. The chain rests on the ground but is not attached to it. The density of helium gas is 0.180 kg/m3. a. How many links hang from the blimp if the steel chain is used? b. Compare your answer with the number of links that would hang if the aluminum chain were used instead. FIGURE P15.78
Old Faithful geyser in Yellowstone Park erupts at approximately 1-hour intervals, and the height of the fountain reaches 40.0 m (Fig. P9.47). (a) Consider the rising stream as a series of separate drops. Analyze the free-fall motion of one of the drops to determine the speed at which the water leaves the ground. (b) Treat the rising stream as an ideal fluid in streamline flow. Use Bernoullis equation to determine the speed of the water as it leaves ground level. (c) What is the pressure (above atmospheric pressure) in the heated underground chamber 175 m below the vent? You may assume the chamber is large compared with the geyser vent.
(a) What is the pressure drop due to the Bernoulli effect as water goes into a 3.00-cm-diameter nozzle from a 9.00-cm-diameter fire hose while carrying a flow of 40.0 L/S? (b) To what maximum height above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.)
The pressure drop along a length of artery is 100 Pa, the radius is 10 mm, and the flow is laminar. The average speed of the blood is 15 mm/s. (a) What is the net force on the blood in this section of artery? (b) What is the power expended maintaining the flow?
Many figures in the text show streamlines. Explain why fluid velocity is greatest where streamlines are closest together. (Hint: Consider the relationship between fluid velocity and the cross-sectional area through which it flows.)
The human brain and spinal cord are immersed in the cerebrospinal fluid. The fluid is normally continuous between the cranial and spinal cavities and exerts a pressure of 100 to 200 mm of H2O above the prevailing atmospheric pressure. In medical work, pressures are often measured in units of millimeters of H2O because body fluids, including the cerebrospinal fluid, typically have the same density as water. The pressure of the cerebrospinal fluid can be measured by means of a spinal tap as illustrated in Figure P14.8. A hollow tube is inserted into the spinal column, and the height to which the fluid rises is observed. If the fluid rises to a height of 160 mm, we write its gauge pressure as 160 mm H2O. (a) Express this pressure in pascals, in atmospheres, and in millimeters of mercury. (b) Some conditions that block or inhibit the flow of cerebrospinal fluid can be investigated by means of Queckenstedts test. In this procedure, the veins in the patients neck are compressed to make the blood pressure rise in the brain, which in turn should be transmitted to the cerebrospinal fluid. Explain how the level of fluid in the spinal tap can be used as a diagnostic tool for the condition of the patients spine. Figure P14.8
A water supply maintains a constant rate of flow for water in a hose. You want to change the opening of the nozzle so that water leaving the nozzle will reach a height that is four times the current maximum height the water reaches with the nozzle vertical. To do so, should you decrease the area of the opening by a factor of 16, decrease the area by a factor of 8, (c) decrease the area by a factor of 4, (d) decrease the area by a factor of 2, or (e) give up because it cannot be done?
(a) How high will water rise in a glass capillary tube with a 0.500-mm radius? (b) How much gravitational potential energy does the water gain? (c) Discuss possible sources of this energy.
An ideal fluid flows through a horizontal pipe whose diameter varies along its length. Measurements would indicate that the sum of the kinetic energy per unit volume and pressure at different sections of the pipe would (a) decrease as the pipe diameter increases, (b) increase as the pipe diameter increases, (c) increase as the pipe diameter decreases, (d) decrease as the pipe diameter decreases, or (e) remain the same as the pipe diameter changes.