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Read carefully the Reference section and the Competition Rules for the Wind Turbine Project and answer the following.
1. The 20-inch box fan used in Project 1 consumes about 85 watts of electricity (on high setting) and delivers a useful stream of air moving with the maximum velocity of about 15 feet per second. Estimate the mechanical power of wind (or the kinetic power of the moving air) from equation Pwind = 1/2ρAV3wind (in watts). Assume that the fan generates a 'tube' of wind 20 inches in diameter and with uniform wind speed of 15 ft/s. What is the efficiency of the power conversion in the fan (in percent)? Convert all non-SI units to SI units.
2. In real wind turbines mechanical power of wind Pwind is first converted to shaft power of the turbine rotor Protor, then the a gear box converts it to shaft power of an electric generator Pgenerator finally the generator converts it into electric power Pelectric. If the efficiency of the three power conversion steps are ηblades = 30%, ηgearbox = 88% and ηgenerator = 95%, respectively, what is the overall power conversion efficiency of the whole wind turbine? Draw a block schematic showing the flow of power into and out of each power conversion stage.
what is the force to the nearest tenth of a mN on a charge q=0.71micro coulums at the point p a distance of r=0.22 meters and what is the magnitude of the electric field to the nearest tenth of a N/C
Find the transfer function and a single first-order differential equation relating the output y(t) to the input u(t) for a system described by the first-order linear state and output equations.
An Ericson cycle operates on 0.227 kg of nitrogen from 650oC to 92oC. If 68kJ of heat is added during the isothermal expansion process, determine a) the overall expansion ratio; b) the heat transferred to the regenerator
A signal x(t) can be represented as x(t)=xe(t)+xo(t) where xe(t)=(1/2){x(t)+x(-t)} is the even part, and xo(t)=(1/2){x(t)-x(-t)} is the odd part of the signal. Let x(t) be an energy signal with an energy of 20 Joules. Suppose the even part of x(t) is..
A CS amplifier using an NMOS with gm = 3.8 mA/V is found to have an overall voltage gain of -16 V/V. What value should a resistance RS inserted in the source lead have to reduce the overall voltage gain to -8 V/V
The DC machine rotates at 1500 RPM and it delivers rated current at rated terminal voltage. The field winding is connected to a 120 V supply. Find the value of the field current and the value of R (field control resistance) required.
Present a finite difference discretisation on the equidistant square mesh. How many mesh cells (as minimum) are necessary so that the matrix is diagonally dominant
Find the moment-generating function for the negative binomial random variable. Use it to derive the mean and variance of that distribution.
The question considers the design of a 8x1 multiplexer using gates. Assume the data inputs are I0,...,I7 and the select inputs are S2, S1 and S0. (a) Write a sum-of-products expression for the 8x1 multiplexer.
The work-piece motion of a certain system is measured using an LVDT that outputs 12mV/cm. (i) If the output from the LVDT ranges from -12mV to 24mV, what is the maximum horizontal motion of the work-piece motion
What is the objection to have lamps in a house-lighting circuit connected in series?
Determine the mathematical expressions for the current iL and the voltage vL when the switch is closed.- Repeat part (a) if the switch is opened after a period of five time constants has passed.
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