## Related questions with answers

Water flows through a turbine. Calculate the power (MW) transmitted by the output shaft of the turbine. The water density is $1000 \mathrm{~kg} / \mathrm{m}^3$. The elevation of the upper reservoir surface is $720 \mathrm{~m}$ and that of the lower reservoir is $695 \mathrm{~m}$. The pipeline diameter is $2.2 \mathrm{~m}$, the total length is $50 \mathrm{~m}$, and the mean velocity is $2.4 \mathrm{~m} / \mathrm{s}$. The friction factor is $0.25$. The sum of minor loss coefficients is $4.7$. The turbine efficiency is $80 \%$. Choose the closest answer (MW): (a) $1.6$, (b) $1.7$, (c) $2.0$, (d) $2.1$, (e) $2.5$.

Solution

Verified## Given Information

We are given with following data

The elevation of upper reservoir surface is

${z_1} = 720\,\,{\rm{m}}$

The elevation of lower reservoir surface is

${{\rm{z}}_2} = 695\,\,{\rm{m}}$

The diameter of the pipe is

$d = 2.2\,\,{\rm{m}}$

Total length of the pipe is

$L = 50\,\,{\rm{m}}$

Mean flow velocity is

$V = 2.4\,\,{\rm{m/s}}$

The friction factor is

$f = 0.25$

Sum of minor loss coefficients is

$K = 4.7$

Turbine Efficiency is

$\eta = 0.8$

We need to find the power transmitted by the Turbine

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