A horizontal circular jet of air (\(\rho_{\text{air}} = 1.23 \, \text{kg/m}^3\)) strikes a stationary flat plate as shown in the diagram. The air jet has a velocity \(V_j = 60 \, \text{m/s}\), and the air jet has a diameter \(D_j = 40 \, \text{mm}\). An anchoring force \(F_A\) is holding the plate in its stationary position. This entire system is open to the atmosphere.Gravity is into/out of the page; gravity will not be important here!The air velocity magnitude remains constant (\(|V_j| = |V_2| = |V_3|\)) as the air flows across the plate surface (this means there are no shear stress effects).**Hint:** align your coordinate system with \(V_3\), \(V_2\), and \(F_A\).### Diagram Explanation:- The diagram shows a side view of the system.- A horizontal jet with velocity \(V_j = 40 \, \text{m/s}\) strikes a flat plate.- The jet has a diameter \(D_j = 40 \, \text{mm}\).- The plate is angled with a 30° incline and a 90° angle on the opposite side.- The system includes vectors \(V_2\), \(V_3\), and anchoring force \(F_A\).### Questions:**(3.a)** What is the magnitude \([N]\) of the anchoring force \(F_A\)?**(3.b)** What fraction \([\%]\) of the total mass of air leaves at \(V_2\)?Now we will change the problem a little. Allow the plate to move to the right with a constant speed of 18 m/s. You should realize that this will mean that the anchoring force is reduced from the answer you found in (3.a).**Please place your observer on the moving plate.****(3.c)** What is the magnitude \([N]\) of the anchoring force \(F_A^*\) that will allow the plate to move to the right with a constant speed of 18 m/s?

The linear momentum equation is given by ∑Fx=FA=ddt∫CVVρd∀+ddt∫CSVρdVn^dAHereddt∫CVVρd∀=0…

A horizontal circular jet of air (pair = 1.23 kg/m') strikes a stationary flat plate as shown below. The air jet has a velocity Vj = 60 m/s and the air jet has a diameter Dj = 40 mm. An anchoring force FA is holding the plate in its stationary position. This entire system is open to the atmosphere. Gravity is into / out of the page ... gravity will not be important here! The air velocity magnitude remains constant ( |Vi[ = |V2| = |V3| ) as the air flows across the plate surface (this means there are no shear stress effects). Hint align your coordinate system with V3, V2, and F4. ... V2 D; = = 40 mm V : 40 m/s 30° V3 A (3.a) What is the magnitude [ N] of the anchoring force FA? (3.b) What fraction [ % ] of the total mass of air leaves at V2? Now we will change the problem a little. Allow the plate to move to the right with a constant speed of 18 m/s. You should realize that this will mean that the anchoring force is reduced from the answer you found in (4.a). Please place your observer on the moving plate. (3.c) What is the magnitude [ N ] of the anchoring force FA* that will allow the plate to move to the right with a constant speed of 18 m/s?

A horizontal circular jet of air (pair = 1.23 kg/m') strikes a stationary flat plate as shown below. The air jet has a velocity Vj = 60 m/s and the air jet has a diameter Dj = 40 mm. An anchoring force FA is holding the plate in its stationary position. This entire system is open to the atmosphere. Gravity is into / out of the page ... gravity will not be important here! The air velocity magnitude remains constant ( |Vi[ = |V2| = |V3| ) as the air flows across the plate surface (this means there are no shear stress effects). Hint align your coordinate system with V3, V2, and F4. ... V2 D; = = 40 mm V : 40 m/s 30° V3 A (3.a) What is the magnitude [ N] of the anchoring force FA? (3.b) What fraction [ % ] of the total mass of air leaves at V2? Now we will change the problem a little. Allow the plate to move to the right with a constant speed of 18 m/s. You should realize that this will mean that the anchoring force is reduced from the answer you found in (4.a). Please place your observer on the moving plate. (3.c) What is the magnitude [ N ] of the anchoring force FA* that will allow the plate to move to the right with a constant speed of 18 m/s?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.

Question

A horizontal circular jet of air (\(\rho_{\text{air}} = 1.23 \, \text{kg/m}^3\)) strikes a stationary flat plate as shown in the diagram. The air jet has a velocity \(V_j = 60 \, \text{m/s}\), and the air jet has a diameter \(D_j = 40 \, \text{mm}\). An anchoring force \(F_A\) is holding the plate in its stationary position. This entire system is open to the atmosphere.

Gravity is into/out of the page; gravity will not be important here!

The air velocity magnitude remains constant (\(|V_j| = |V_2| = |V_3|\)) as the air flows across the plate surface (this means there are no shear stress effects).

**Hint:** align your coordinate system with \(V_3\), \(V_2\), and \(F_A\).

### Diagram Explanation:
- The diagram shows a side view of the system.
- A horizontal jet with velocity \(V_j = 40 \, \text{m/s}\) strikes a flat plate.
- The jet has a diameter \(D_j = 40 \, \text{mm}\).
- The plate is angled with a 30° incline and a 90° angle on the opposite side.
- The system includes vectors \(V_2\), \(V_3\), and anchoring force \(F_A\).

### Questions:

**(3.a)** What is the magnitude \([N]\) of the anchoring force \(F_A\)?

**(3.b)** What fraction \([\%]\) of the total mass of air leaves at \(V_2\)?

Now we will change the problem a little. Allow the plate to move to the right with a constant speed of 18 m/s. You should realize that this will mean that the anchoring force is reduced from the answer you found in (3.a).

**Please place your observer on the moving plate.**

**(3.c)** What is the magnitude \([N]\) of the anchoring force \(F_A^*\) that will allow the plate to move to the right with a constant speed of 18 m/s?

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