How Do You Calculate Acceleration at Different Points on a Helicopter Rotor?

In summary, the conversation discusses the calculation of acceleration for a helicopter blade and a worm crawling along it. The variables involved include the diameter and length of the blade, the flapping angle, rotation speed, position and velocity of the worm, and the use of polar coordinates. The worm would feel an acceleration in the direction of the blade and as it moves closer to the hub, the acceleration changes due to the change in radius and tangential velocity. The use of polar coordinates is recommended for solving the equations.
  • #1
max1546
8
0
How would you calculate the acceleration of the following two points?

http://img341.imageshack.us/img341/917/helicoptor.jpg
Uploaded with ImageShack.us1) The tip of the helicopter blade

The diameter of the hub = d
The length of the rotor = l
The flapping angle: theta = A sin(omega*t)
The rotation speed of the rotor system = Omega2) A warm crawling from the tip to the hinge

The current position from the hinge = x
The speed along the blade = v (inward)

I'm trying to find the acceleration by the method of moving frame and it's getting tricky...
 
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  • #2
In the picture shouldn't that be d/2 rather than 2/d as the radius from the centre to the hub edge?
Out of curiosity, what is A?

Nonetheless, in what direction would the worm feel an acceleration?
If the worm has moved to another position closer to the hub, how has the acceleration that it feels changed?
I think if you set up your equations regarding centripetal acceleration you should be able to solve.

As the worm moves inwards, the radius is changing (as above) so the worm's tangential velocity is also changing. Thus there is also a tangential acceleration, which you can solve for.

You could try using polar coordinates.
here is a description from Wiki
http://en.wikipedia.org/wiki/Circular_motion
 
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Related to How Do You Calculate Acceleration at Different Points on a Helicopter Rotor?

1. What is helicopter rotor acceleration?

Helicopter rotor acceleration refers to the rate of change in the rotational speed of the rotor blades. It is a measure of how quickly the rotor blades are spinning up or slowing down.

2. What causes helicopter rotor acceleration?

Helicopter rotor acceleration is caused by changes in the torque or thrust applied to the rotor blades. This can be controlled by the pilot through the collective and cyclic controls, as well as changes in the engine power.

3. How is helicopter rotor acceleration measured?

Helicopter rotor acceleration is typically measured using a tachometer, which measures the rotational speed of the rotor blades. The change in rotational speed over time is then calculated to determine the acceleration.

4. Why is helicopter rotor acceleration important?

Helicopter rotor acceleration is important for maintaining control and stability of the helicopter in flight. It allows the pilot to adjust the altitude, speed, and direction of the helicopter, and to make smooth and precise maneuvers.

5. Can helicopter rotor acceleration be dangerous?

In certain situations, helicopter rotor acceleration can be dangerous. Rapid changes in acceleration can put stress on the rotor blades and other components of the helicopter, and may result in loss of control or other malfunctions. Proper training and careful control inputs are necessary to prevent dangerous levels of acceleration.

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