Physics: An eletric pump in the ground floor building taken 15 then to filla tank of volume 3003003 with waterIf the tank in 40met above the groundand the efficiency of the pumpnotfind the electric power consumed bythe pump in fillingthe tank

electromagnetic wave.Explanation:...

An eletric pump in the ground floor building taken

loveb1409

30.01.2022

The input power is $44.4\times10^{3}\ kW$

Explanation:

Given that,

Time = 15 min

Volume of water = 30 m³

Height = 40 m

Efficiency = 30%

Density of water = 1000 kg/m³

Suppose, acceleration due to gravity = 10 m/s²

We need to calculate the mass of water pumped

Using formula of mass

$Mass = Volume\times density$

Put the value into the formula

$Mass=30\times1000$

$Mass=3\times10^{4}\ kg$

We need to calculate the output power

Using formula of power

$P_{out}=\dfrac{W}{t}$

$P_{out}=\dfrac{mgh}{t}$

Put the value into the formula

$P_{out}=\dfrac{3\times10^{4}\times10\times40}{15\times60}$

$P_{out}=\dfrac{4}{3}\times10^{4}\ Watt$

We need to calculate the input power

Using formula of efficiency

$\eta=\dfrac{P_{out}}{P_{in}}$

$P_{in}=\dfrac{P_{out}}{\eta}$

Put the value into the formula

$P_{in}=\dfrac{4\times100\times10^{4}}{3\times30}$

$P_{in}=\dfrac{4\times10^{5}}{9}\ Watt$

$P_{in}=44.4\times10^{3}\ kW$

Hence, The input power is $44.4\times10^{3}\ kW$

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