SATHEE: Work Energy and Power - Result Question 40

Work Energy and Power - Result Question 40

43. Water falls from a height of $60 m$ at the rate of $15 k g / s$ to operate a turbine. The losses due to frictional force are $10$ of energy. How much power is generated by the turbine? [2008] ( $g = 10 m / s^{2}$ )

(a) $8.1 k W$

(b) $10.2 k W$

(d) $7.0 k W$

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Answer:

Correct Answer: 43. (a)

Solution:

(a) Given, $h = 60 m, g = 10 m s^{- 2}$ ,

Rate of flow of water $= 15 k g / s$

$∴$ Power of the falling water

$= 15 k g s^{- 1} \times 10 m s^{- 2} \times 60 m = 9000$ watt

Loss in energy due to friction

$= 9000 \times \frac{10}{100} = 900$ watt.

$∴$ Power generated by the turbine

$= (9000 - 900)$ watt $= 8100$ watt $= 8.1 k W$

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Work Energy and Power - Result Question 40

43. Water falls from a height of 60m at the rate of 15kg/s to operate a turbine. The losses due to frictional force are 10 of energy. How much power is generated by the turbine? [2008] ( g=10m/s2 )

Answer:

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43. Water falls from a height of $60 m$ at the rate of $15 k g / s$ to operate a turbine. The losses due to frictional force are $10$ of energy. How much power is generated by the turbine? [2008] ( $g = 10 m / s^{2}$ )