Water is falling on the blades of a turbine f | vedclass

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Question

(A) Power is defined as the rate of doing work or the rate of energy transfer.Given:Height,$h = 25 \ m$Mass of water,$m = 3 	imes 10^3 \ kg$Time,$t =

Vedclass · Accepted Answer

$12250$

Vedclass · Answer

(A) Power is defined as the rate of doing work or the rate of energy transfer.Given:Height,$h = 25 \ m$Mass of water,$m = 3 	imes 10^3 \ kg$Time,$t = 1 \ minute = 60 \ s$Acceleration due to gravity,$g = 10 \ m/s^2$The potential energy of the water falling is converted into power for the turbine.$P = \frac{mgh}{t}$Substituting the values:$P = \frac{3 	imes 10^3 	imes 10 	imes 25}{60}$$P = \frac{750000}{60}$$P = 12500 \ W$Wait,recalculating: $P = \frac{3000 	imes 10 	imes 25}{60} = \frac{750000}{60} = 12500 \ W$. Re-evaluating the provided options: The calculation yields $12500 \ W$. Given the options,$12250 \ W$ is the closest approximation if $g = 9.8 \ m/s^2$ is used.Using $g = 9.8 \ m/s^2$:$P = \frac{3000 	imes 9.8 	imes 25}{60} = 50 	imes 9.8 	imes 25 = 12250 \ W$.

Water is falling on the blades of a turbine from a height of $25 \ m$. $3 \times 10^3 \ kg$ of water pours on the blade per minute. If the whole of energy is transferred to the turbine,the power delivered is: (in $W$)

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