Calculate the Gear Ratio.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Calculate the Gear Ratio.

The helicopter's engine's
output shaft rotates at
2400rpm and is connected to
reduction gearbox.
The gearbox's input simple gear
have 20 tooth and the output
simple gear have 100 tooth.
The gearbox's output rotation
velocity is the same as the two
helicopter rotor blades.
The average radius of the rotor
blade is 2.5m and the lift of
one rotor blade is (0.413) v².
2
helicopter
rotor blade
helicopter
rotor head
gearbox
Average radius of rotor blade = 2.5m
© 2012 Encyclopædia Britannica, Inc.
Helicopter Rotor Blade
compressor combustion core
chamber turbine
output
shaft
2400rpm
power
turbine
Transcribed Image Text:The helicopter's engine's output shaft rotates at 2400rpm and is connected to reduction gearbox. The gearbox's input simple gear have 20 tooth and the output simple gear have 100 tooth. The gearbox's output rotation velocity is the same as the two helicopter rotor blades. The average radius of the rotor blade is 2.5m and the lift of one rotor blade is (0.413) v². 2 helicopter rotor blade helicopter rotor head gearbox Average radius of rotor blade = 2.5m © 2012 Encyclopædia Britannica, Inc. Helicopter Rotor Blade compressor combustion core chamber turbine output shaft 2400rpm power turbine
The 400kg helicopter yaws at level (same
altitude) and makes a circular motion (top
view), with a radius of 20m.
The resonant frequency of the rotor blade
at 6.7Hz and the flutter speed is 28m/s.
Centre of
circular
motion
60°
20m
Front View
20m
Top View
Lift
Helicopter
Transcribed Image Text:The 400kg helicopter yaws at level (same altitude) and makes a circular motion (top view), with a radius of 20m. The resonant frequency of the rotor blade at 6.7Hz and the flutter speed is 28m/s. Centre of circular motion 60° 20m Front View 20m Top View Lift Helicopter
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Follow-up Question

The 400kg helicopter yaws at level (same altitude) and makes a circular motion (top view), with a radius of 20m.
The resonant frequency of the rotor blade at 6.7Hz and the flutter speed is 28m/s.

Calculate the time to complete one circular motion.

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Follow-up Question

Calculate the time to complete one circular motion.

How to double the time?

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Follow-up Question

Is there vibration experienced by the helicopter?
i. If yes, what caused it and how to reduce this vibration?

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Follow-up Question

Calculate the time to complete one circular motion.

 

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Follow-up Question

Calculate the forward velocity of the helicopter. 

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Follow-up Question

Calculate the force required for circular motion.

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Follow-up Question

Calculate the lift generated by the helicopter rotor blade.

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Follow-up Question

Calculate the helicopter rotor blade’s rotational speed.

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