A water pumping system is driven by a horizontal axis multi-bladed wind turbine at a power coefficient $\left(\mathrm{C}_{\mathrm{p}}\right)$ of $0.4 .$ The total pumping head and discharge are $20 \mathrm{~m}$ and $15 \mathrm{~L} \mathrm{~s}^{-1},$ respectively. The mean wind velocity is $8 \mathrm{~m} \mathrm{~s}^{-1}$ and the pump efficiency is $70 \%$. The density of air and water are 1.2 and $1000 \mathrm{~kg} \mathrm{~m}^{-3}$, respectively. If the transmission efficiency from wind turbine to the pump is $90 \%$ the required diameter of the wind turbine in $\mathrm{m}$ (round off to 2 decimal places) is__________________

Question ID - 157532 | SaraNextGen Top Answer

 A water pumping system is driven by a horizontal axis multi-bladed wind turbine at a power coefficient $\left(\mathrm{C}_{\mathrm{p}}\right)$ of $0.4 .$ The total pumping head and discharge are $20 \mathrm{~m}$ and $15 \mathrm{~L} \mathrm{~s}^{-1},$ respectively. The mean wind velocity is $8 \mathrm{~m} \mathrm{~s}^{-1}$ and the pump efficiency is $70 \%$. The density of air and water are 1.2 and $1000 \mathrm{~kg} \mathrm{~m}^{-3}$, respectively. If the transmission efficiency from wind turbine to the pump is $90 \%$ the required diameter of the wind turbine in $\mathrm{m}$ (round off to 2 decimal places) is__________________