A long circular cylinder rotates at a constant angular velocity of 100 rad/s while subjected to a uniform cross flow of air at a velocity of 15 m/s as shown. If the density of the air is 1.20 kg/m², find the lift per unit length of cylinder. U= 15 m/s 0 = 100 rad/s R = 0.25 m air

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Problem Description:**

A long circular cylinder rotates at a constant angular velocity of 100 rad/s while subjected to a uniform cross flow of air at a velocity of 15 m/s as shown. If the density of the air is 1.20 kg/m³, find the lift per unit length of the cylinder.

**Diagram Explanation:**

The diagram displays a circular cylinder with the following details:

- The cylinder rotates counterclockwise with an angular velocity (\(\omega\)) of 100 rad/s.
- The radius (R) of the cylinder is 0.25 meters.
- There is a uniform flow of air moving horizontally from left to right at a velocity (U) of 15 m/s.
- The air density given is 1.20 kg/m³.
- The coordinate system is marked with axes x and y, showing the orientation and position of the cylinder in relation to the flow.

**Objective:**

Calculate the lift per unit length of the cylinder based on the given parameters.
Transcribed Image Text:**Problem Description:** A long circular cylinder rotates at a constant angular velocity of 100 rad/s while subjected to a uniform cross flow of air at a velocity of 15 m/s as shown. If the density of the air is 1.20 kg/m³, find the lift per unit length of the cylinder. **Diagram Explanation:** The diagram displays a circular cylinder with the following details: - The cylinder rotates counterclockwise with an angular velocity (\(\omega\)) of 100 rad/s. - The radius (R) of the cylinder is 0.25 meters. - There is a uniform flow of air moving horizontally from left to right at a velocity (U) of 15 m/s. - The air density given is 1.20 kg/m³. - The coordinate system is marked with axes x and y, showing the orientation and position of the cylinder in relation to the flow. **Objective:** Calculate the lift per unit length of the cylinder based on the given parameters.
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