$(A)$ The potential energy available per second is given by the power input: $P_{in} = \frac{m}{t} g \Delta h$.Here,$\frac{m}{t} = 2000 \ kg/s$,$g = 1

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$(A)$ The potential energy available per second is given by the power input: $P_{in} = \frac{m}{t} g \Delta h$.Here,$\frac{m}{t} = 2000 \ kg/s$,$g = 10 \ m/s^2$,and $\Delta h = 550 \ m - 50 \ m = 500 \ m$.$P_{in} = 2000 \times 10 \times 500 = 10,000,000 \ W = 10 \ MW$.The efficiency of the turbine is $\eta = 80\% = 0.8$.The power generated (output power) is $P_{out} = \eta \times P_{in} = 0.8 \times 10 \ MW = 8 \ MW$.

Class 11 Physics Work, Energy, Power and Collision Power

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Water falls from a dam at a height of $550 \ m$ onto a turbine at a height of $50 \ m$ at a rate of $2000 \ kg$ per second. If the efficiency of the turbine is $80\%$,the power generated is ............. $MW$.

A
$8$
B
$10$
C
$12.5$
D
$16$

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Work, Energy, Power and Collision

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Power

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Water falls from a dam at a height of $550 \ m$ onto a turbine at a height of $50 \ m$ at a rate of $2000 \ kg$ per second. If the efficiency of the turbine is $80\%$,the power generated is ............. $MW$.

Similar Questions

An elevator lifts a load of $500 \ kg$ with a constant speed of $0.4 \ m/s$. What is the minimum horsepower $(H.P.)$ of the motor required?

An athlete of mass $60\, kg$ skips at the rate of $20$ steps per minute through an average height of $25\, cm$. The power developed is ............. $W$.

$A$ vehicle of mass $m$ starts from rest and accelerates. If the engine delivers a constant power $P$,then the position $s$ of the vehicle at time $t$ is given by:

Why is electrical power required at all when the elevator is descending? Why should there be a limit on the number of passengers in this case?

$A$ man riding a bicycle moves at a speed of $7.2 \ km/hr$ up an incline having a length of $20 \ m$ and a height of $1 \ m$. The total mass of the man and the bicycle is $100 \ kg$. What is the power of the man in $W$?

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