Answer:
![P_2-P_1=27209h](https://tex.z-dn.net/?f=P_2-P_1%3D27209h)
Explanation:
For pressure gage we can determine this by saying:
The closed tank with oil and air has a pressure of P₁ and the pressure of oil at a certain height in the U-tube on mercury is p₁gh₁. The pressure of mercury on the air in pressure gauge is p₂gh₂. The pressure of the gage is P₂.
![P_1+p_1gh_1=p_2_gh_2+P_2](https://tex.z-dn.net/?f=P_1%2Bp_1gh_1%3Dp_2_gh_2%2BP_2)
We want to work out P₁-P₂: Heights aren't given so we can solve it in terms of height: assuming h₁=h₂=h
![P_2-P_1=27209h](https://tex.z-dn.net/?f=P_2-P_1%3D27209h)
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
![PGP = \rho *\frac{\pi r^2}{2} *V*e \\\\r^2 = \frac{2*PGP}{\rho*\pi *V*e} , r=\sqrt{ \frac{2*PGP}{\rho*\pi *V*e}} = \sqrt{ \frac{2*10^6}{1.275*\pi *2.235*2.517}}](https://tex.z-dn.net/?f=PGP%20%3D%20%5Crho%20%2A%5Cfrac%7B%5Cpi%20r%5E2%7D%7B2%7D%20%2AV%2Ae%20%20%5C%5C%5C%5Cr%5E2%20%3D%20%5Cfrac%7B2%2APGP%7D%7B%5Crho%2A%5Cpi%20%2AV%2Ae%7D%20%2C%20r%3D%5Csqrt%7B%20%5Cfrac%7B2%2APGP%7D%7B%5Crho%2A%5Cpi%20%2AV%2Ae%7D%7D%20%3D%20%5Csqrt%7B%20%5Cfrac%7B2%2A10%5E6%7D%7B1.275%2A%5Cpi%20%2A2.235%2A2.517%7D%7D)
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
Answer: Eye injury
Explanation: small material such as dust, dirt, and metal shards can harm your eyes with potential blindness or infection.