The gauge pressure of water at AA is 150.5 kPakPa. Water flows through the pipe at AA with a velocity of 18 m/sm/s, and out the pipe at BB and CC with the same velocity vv. Neglect the weight of water within the pipe and the weight of the pipe. The pipe has a diameter of 50 mmmm at AA, and at BB and CC the diameter is 25 mmmm . ρwρw = 1000 kg/m3 Determine the xx component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. Determine the yy component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The gauge pressure of water at AA is 150.5 kPakPa. Water flows through the pipe at AA with a velocity of 18 m/sm/s, and out the pipe at BB and CC with the same velocity vv. Neglect the weight of water within the pipe and the weight of the pipe. The pipe has a diameter of 50 mmmm at AA, and at BB and CC the diameter is 25 mmmm . ρwρw = 1000 kg/m3

Determine the xx component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium.

Determine the yy component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium.

 

**Problem Statement**

The gauge pressure of water at \( A \) is 150.5 kPa. Water flows through the pipe at \( A \) with a velocity of 18 m/s, and out the pipe at \( B \) and \( C \) with the same velocity \( v \). Neglect the weight of water within the pipe and the weight of the pipe. The pipe has a diameter of 50 mm at \( A \), and at \( B \) and \( C \) the diameter is 25 mm. The density of water \( \rho_w = 1000 \, \text{kg/m}^3 \).

**Figure Description**

The diagram shows a pipe assembly with an elbow, indicating the flow of water. The flow enters at point \( A \), with an outflow at points \( B \) and \( C \). The velocity at point \( A \) is labeled as 18 m/s, while the velocity at points \( B \) and \( C \) is labeled as \( v \).

**Questions**

1. **Determine the \( x \)-component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium.**

   *Express your answer to three significant figures and include the appropriate units.*

   \[
   F_x = \boxed{\text{Value}} \, \boxed{\text{Units}}
   \]

   Feedback: Incorrect; Try Again. 3 attempts remaining.

2. **Determine the \( y \)-component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium.**

   *Express your answer to three significant figures and include the appropriate units.*

   \[
   F_y = \boxed{\text{Value}} \, \boxed{\text{Units}}
   \]

   Feedback: Incorrect; Try Again. 5 attempts remaining.
Transcribed Image Text:**Problem Statement** The gauge pressure of water at \( A \) is 150.5 kPa. Water flows through the pipe at \( A \) with a velocity of 18 m/s, and out the pipe at \( B \) and \( C \) with the same velocity \( v \). Neglect the weight of water within the pipe and the weight of the pipe. The pipe has a diameter of 50 mm at \( A \), and at \( B \) and \( C \) the diameter is 25 mm. The density of water \( \rho_w = 1000 \, \text{kg/m}^3 \). **Figure Description** The diagram shows a pipe assembly with an elbow, indicating the flow of water. The flow enters at point \( A \), with an outflow at points \( B \) and \( C \). The velocity at point \( A \) is labeled as 18 m/s, while the velocity at points \( B \) and \( C \) is labeled as \( v \). **Questions** 1. **Determine the \( x \)-component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium.** *Express your answer to three significant figures and include the appropriate units.* \[ F_x = \boxed{\text{Value}} \, \boxed{\text{Units}} \] Feedback: Incorrect; Try Again. 3 attempts remaining. 2. **Determine the \( y \)-component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium.** *Express your answer to three significant figures and include the appropriate units.* \[ F_y = \boxed{\text{Value}} \, \boxed{\text{Units}} \] Feedback: Incorrect; Try Again. 5 attempts remaining.
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