# Investigate and based on rotor momentum/ actuator disk theory, what is the theoretical velocity magnitude, w far downstream in the wake of the rotor?

Background
This is an open-ended problem, as such there is no single proper way to devise a solution. The objective is to allow you to think critically and research ideas for a potential way to solve the problem. Credit will be given on your effort and reasoning behind your solution.

Problem Statement
Suppose you are asked to measure the wind velocity, w (in two components along the x and y directions; u and v respectively) far downstream in the wake of a hovering helicopter rotor where the wind changes minimal direction at a maximum frequency of 10 Hz. Suppose that the mean induced velocity (vi) remains nearly constant at 15 m/s at the plane of the rotor.

Questions

1. Investigate and based on rotor momentum/ actuator disk theory, what is the theoretical velocity magnitude, w far downstream in the wake of the rotor?
2. Suppose you are asked to measure the velocity components u and v using inexpensive electronic components. How might you design/ build a simple wind sensor(s) that could measure the wind velocity and direction? Use sketches to present your ideas, you can assume that you can calibrate your chosen sensor/ actuator voltage output to a physical measured variable.
3. If your wind velocity is changing direction at a maximum frequency of 10 Hz, what is the minimum frequency that you should sample your wind measurement in order to properly capture/ reproduce the wind fluctuations?

Are you looking for a similar paper or any other quality academic essay? Then look no further. Our research paper writing service is what you require. Our team of experienced writers is on standby to deliver to you an original paper as per your specified instructions with zero plagiarism guaranteed. This is the perfect way you can prepare your own unique academic paper and score the grades you deserve.

Use the order calculator below and get started! Contact our live support team for any assistance or inquiry.