If the ratio of the blade-tip speed to the wind speed is 6

Reference no: EM13632009

Wind turbines are generally designed so that over the range of wind speeds at which they operate, the blade tips rotate at a speed 5-7X the wind speed.

a) If the ratio of the blade-tip speed to the wind speed is 6, sketch the direction of the wind as seen by an observer riding on the rotating blade at three points: near the hub, halfway out, and near the tip. Also show the direction of the wind as seen by a stationary observer.

b) Consider a blade that momentarily runs straight up from the hub. Imagine cutting a cross section through that blade in the horizontal plane. That cross section has the shape of an airfoil, but its orientation changes with distance from the hub. On the sketch you made in part a), draw which way it's oriented for each of the three locations. Explain why you chose the orientations you drew.

c) If the blade is 10m long and the wind speed is 10m/s, at what rate does the blade rotate? What is the ratio of that frequency to 60 Hz, the line frequency in the US electrical system?

d) To spin the magnet in the generator, a variable-ratio gear box converts the rotation frequency to something closer to 60 Hz. If the magnet rotates at exactly 60 Hz, what must be done in addition to ensure that the voltage matches the standard 110 V rms?

Reference no: EM13632009

Questions Cloud

What physical property of the semiconducting material : consider a piece of photovoltaic.a sketch its layout showing the two regions of different doping identifying where the

Determine the amount of heat necessary to raise the : determine the amount of heat necessary to raise the temperature of 1 kg of aluminum from 30oc to 100oc.

Show that the continutiy equation for a inviscid : show that the continutiy equation for a inviscid irrotational flow leads to leplaces eqaution in terms of the velocity

Find the equation of the least squares regression line : find the equation of the least squares regression line ifx-bar 10sx 2.3y-bar 40sy 4.1r -0.56a. y-hat 49.98x -

If the ratio of the blade-tip speed to the wind speed is 6 : wind turbines are generally designed so that over the range of wind speeds at which they operate the blade tips rotate

An amusement ride consists of a large horizontal circular : an amusement ride consists of a large horizontal circular platform turning at 12 rpm. people attempt to sit on this

A survey of statistics undergraduate at prosperity : a survey of statistics undergraduate at prosperity university completed a survey that asked for their verbal and math

Define the admittance of the circuit in complex fork : 1. explain what is the instantaneous values of ac and phase shift angle are. explain what the effective and average

What is ductile-to-brittle transition temperature describe : what is ductile-to-brittle transition temperature? describe a method to determine ductile-to-brittle transition

User Account

All Pages