A stream of water strikes a stationary turbine blade horizontally, as the drawing illustrates. The incident water stream has a velocity of +16.0 m/s, while the exiting water stream has a velocity of -16.0 m/s. The mass of water per second that strikes the blade is 34.0 kg/s. Find the magnitude of the average force exerted on the water by the blade. Number i Units 20 = +16.0 m/s v=-16.0 m/s Stationary turbine blade 5

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Statement:**

A stream of water strikes a stationary turbine blade horizontally, as the drawing illustrates. The incident water stream has a velocity of +16.0 m/s, while the exiting water stream has a velocity of -16.0 m/s. The mass of water per second that strikes the blade is 34.0 kg/s. Find the magnitude of the average force exerted on the water by the blade.

**Diagram Explanation:**

The diagram shows:

- A stationary turbine blade with a water stream approaching and leaving it.
- The incoming water stream has a velocity of \( v_0 = +16.0 \, \text{m/s} \).
- The outgoing water stream has a velocity of \( v_f = -16.0 \, \text{m/s} \).

**Calculations:**

To calculate the average force exerted on the water by the blade, use the equation for force based on the change in momentum:

\[
F = \Delta p / \Delta t
\]

Where:
- \( \Delta p = m (\Delta v) \)
- \( \Delta v = v_f - v_0 \)
- Mass flow rate \( m = 34.0 \, \text{kg/s} \)
- \( v_0 = +16.0 \, \text{m/s} \)
- \( v_f = -16.0 \, \text{m/s} \)

Substitute these values into the equation to find the force.

**Input Fields:**

- **Number**: Input the calculated magnitude of the force
- **Units**: Choose the appropriate units for force (e.g., Newtons).
Transcribed Image Text:**Problem Statement:** A stream of water strikes a stationary turbine blade horizontally, as the drawing illustrates. The incident water stream has a velocity of +16.0 m/s, while the exiting water stream has a velocity of -16.0 m/s. The mass of water per second that strikes the blade is 34.0 kg/s. Find the magnitude of the average force exerted on the water by the blade. **Diagram Explanation:** The diagram shows: - A stationary turbine blade with a water stream approaching and leaving it. - The incoming water stream has a velocity of \( v_0 = +16.0 \, \text{m/s} \). - The outgoing water stream has a velocity of \( v_f = -16.0 \, \text{m/s} \). **Calculations:** To calculate the average force exerted on the water by the blade, use the equation for force based on the change in momentum: \[ F = \Delta p / \Delta t \] Where: - \( \Delta p = m (\Delta v) \) - \( \Delta v = v_f - v_0 \) - Mass flow rate \( m = 34.0 \, \text{kg/s} \) - \( v_0 = +16.0 \, \text{m/s} \) - \( v_f = -16.0 \, \text{m/s} \) Substitute these values into the equation to find the force. **Input Fields:** - **Number**: Input the calculated magnitude of the force - **Units**: Choose the appropriate units for force (e.g., Newtons).
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