Answer: A model of a helicopter rotor has four blades,

Chapter 3, Problem 26E

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QUESTION:

A model of a helicopter rotor has four blades, each 3.40 m long from the central shaft to the blade tip. The model is rotated in a wind tunnel at 550 rev/min. (a) What is the linear speed of the blade tip, in m/s? (b) What is the radial acceleration of the blade tip expressed as a multiple of the acceleration of gravity, g?

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QUESTION:

A model of a helicopter rotor has four blades, each 3.40 m long from the central shaft to the blade tip. The model is rotated in a wind tunnel at 550 rev/min. (a) What is the linear speed of the blade tip, in m/s? (b) What is the radial acceleration of the blade tip expressed as a multiple of the acceleration of gravity, g?

ANSWER:

Solution 26E

If  is the rotational speed and  is the radius of the the path of circular motion then the linear speed of the speed of the particle is given by

Step 1

In the given problem we have

And the radius of the path of the tip is

So the linear speed is

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