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18 m (Another review problem) A helicopter of mass 10,000 kg hovers at sea level while carrying a load of 14,000 kg. The blades cause an 18-m-diameter air mass to move downward at an average velocity proportional to the overhead blade rotational velocity (i.e., V = ka, where k is 0.036 (m/s)/rpm). Determine 1. the wof the helicopter blades in rpm 2. the required power output Calculate this on a day where the atmospheric pressure is 102 kPa and the temperature is 25 °C. Assume air approaches the blades from the top through a large area with negligible velocity and air is forced by the blades to move down with a uniform velocity through an imaginary cylinder whose base is the blade span area. Load 14,000 kg

18 m (Another review problem) A helicopter of mass 10,000 kg hovers at sea level while carrying a load of 14,000 kg. The blades cause an 18-m-diameter air mass to move downward at an average velocity proportional to the overhead blade rotational velocity (i.e., V = ka, where k is 0.036 (m/s)/rpm). Determine 1. the wof the helicopter blades in rpm 2. the required power output Calculate this on a day where the atmospheric pressure is 102 kPa and the temperature is 25 °C. Assume air approaches the blades from the top through a large area with negligible velocity and air is forced by the blades to move down with a uniform velocity through an imaginary cylinder whose base is the blade span area. Load 14,000 kg

Elements Of Electromagnetics
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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This the problem how they give it to me I need help please quick

 

**Helicopter Aerodynamics and Power Calculation** **Problem Statement:** A helicopter with a mass of 10,000 kg hovers at sea level while carrying an additional load of 14,000 kg. The helicopter's blades cause an air mass with an 18-meter diameter to move downward at an average velocity that is proportional to the rotational velocity of the blades. The velocity is given by the equation \( V = k\omega \), where \( k = 0.036 \, \text{m/s/rpm} \). Tasks: 1. Determine the angular velocity (\(\omega\)) of the helicopter blades in revolutions per minute (rpm). 2. Calculate the required power output for this operation. Assumptions and Conditions: - The day has an atmospheric pressure of 102 kPa and a temperature of 25°C. - Air approaches the blades from the top with negligible initial velocity and moves downward with uniform velocity through an imaginary cylinder whose base matches the span area of the blades. **Diagram Explanation:** The diagram features: - A helicopter shown in side view hovering with its rotor blades extending horizontally. - A load of 14,000 kg hanging from the helicopter. - The rotor blade span is indicated to be 18 meters. - The helicopter and load form a simplified model to illustrate the forces and motion involved, with arrows representing the downward air movement caused by the rotor blades.
Transcribed Image Text:**Helicopter Aerodynamics and Power Calculation** **Problem Statement:** A helicopter with a mass of 10,000 kg hovers at sea level while carrying an additional load of 14,000 kg. The helicopter's blades cause an air mass with an 18-meter diameter to move downward at an average velocity that is proportional to the rotational velocity of the blades. The velocity is given by the equation \( V = k\omega \), where \( k = 0.036 \, \text{m/s/rpm} \). Tasks: 1. Determine the angular velocity (\(\omega\)) of the helicopter blades in revolutions per minute (rpm). 2. Calculate the required power output for this operation. Assumptions and Conditions: - The day has an atmospheric pressure of 102 kPa and a temperature of 25°C. - Air approaches the blades from the top with negligible initial velocity and moves downward with uniform velocity through an imaginary cylinder whose base matches the span area of the blades. **Diagram Explanation:** The diagram features: - A helicopter shown in side view hovering with its rotor blades extending horizontally. - A load of 14,000 kg hanging from the helicopter. - The rotor blade span is indicated to be 18 meters. - The helicopter and load form a simplified model to illustrate the forces and motion involved, with arrows representing the downward air movement caused by the rotor blades.
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