Answer:
Option e)
Explanation:
Dimensional Analysis helps in the analysis of relationship between physical quantities, checking its dimension thus checking the accuracy of a given or to find the dimensions of a quantity or the degree of correctness of an equation.
Dimensional analysis has some of the applications that are listed below:
- To establish a relationship between physical quantities
- To check the accuracy of a given formula
- To derive units of a physical quantity
- To convert system of units in one another.
Answer:
b)10
Explanation:
We know that in Otto cycle there are four process .In first process mass of air fuel mixture enters in the cylinder.In second process that intake mass is compresses up to a specified limit.In general compression ratio in Otto cycle is about 9 or 10.In third process burning of fuel takes place where certain amount of work is obtained.Last process is exhaust process in which burning gas escape out from the cylinder.
Best compression ratio in Otto cycle is about 10.Beyond this value of compression ratio the cycle will not proved best work out put. So our option b is right.
Answer:
The radius of a wind turbine is 691.1 ft
The power generation potential (PGP) scales with speed at the rate of 7.73 kW.s/m
Explanation:
Given;
power generation potential (PGP) = 1000 kW
Wind speed = 5 mph = 2.2352 m/s
Density of air = 0.0796 lbm/ft³ = 1.275 kg/m³
Radius of the wind turbine r = ?
Wind energy per unit mass of air, e = E/m = 0.5 v² = (0.5)(2.2352)²
Wind energy per unit mass of air = 2.517 J/kg
PGP = mass flow rate * energy per unit mass
PGP = ρ*A*V*e

r = 210.64 m = 691.1 ft
Thus, the radius of a wind turbine is 691.1 ft
PGP = CVᵃ
For best design of wind turbine Betz limit (c) is taken between (0.35 - 0.45)
Let C = 0.4
PGP = Cvᵃ
take log of both sides
ln(PGP) = a*ln(CV)
a = ln(PGP)/ln(CV)
a = ln(1000)/ln(0.4 *2.2352) = 7.73
The power generation potential (PGP) scales with speed at the rate of 7.73 kW.s/m
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Answer:
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