A pump on the ground floor of a building can | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Volume of the tank, $V = 30 \; m^{3}$.Time of operation, $t = 15 \; min = 15 	imes 60 = 900 \; s$.Height of the tank, $h = 40 \; m$.Efficiency of

Vedclass · Accepted Answer

$43.6$

Vedclass · Answer

(D) Volume of the tank, $V = 30 \; m^{3}$.Time of operation, $t = 15 \; min = 15 	imes 60 = 900 \; s$.Height of the tank, $h = 40 \; m$.Efficiency of the pump, $\eta = 30 \% = 0.3$.Density of water, $ho = 10^{3} \; kg/m^{3}$.Mass of water, $m = ho 	imes V = 10^{3} 	imes 30 = 30,000 \; kg$.Output power $(P_{out})$ is the rate of doing work against gravity:$P_{out} = \frac{mgh}{t} = \frac{30,000 	imes 9.8 	imes 40}{900} = \frac{11,760,000}{900} = 13,066.67 \; W \approx 13.067 \; kW$.Input power $(P_{in})$ is related to output power by efficiency: $\eta = \frac{P_{out}}{P_{in}}$.$P_{in} = \frac{P_{out}}{\eta} = \frac{13.067 \; kW}{0.3} = 43.556 \; kW$.Rounding to one decimal place, the power consumed is $43.6 \; kW$.

$A$ pump on the ground floor of a building can pump up water to fill a tank of volume $30 \; m^{3}$ in $15 \; min$. If the tank is $40 \; m$ above the ground, and the efficiency of the pump is $30 \%$, how much electric power (in $kW$) is consumed by the pump?

Similar Questions

$A$ man does a given amount of work in $10 \ s$. Another man does the same amount of work in $20 \ s$. The ratio of the output power of the first man to the second man is:

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of $2\, m/s$. The mass per unit length of water in the pipe is $100\, kg/m$. Calculate the power $W$ of the engine. (in $, W$)

$A$ crane of efficiency $80 \%$ is used to lift $8000 \ kg$ of coal from a mine of depth $108 \ m$. If the time taken by the crane to lift the coal is one hour, then the power of the crane (in $kW$) is (Acceleration due to gravity $= 10 \ m \ s^{-2}$)

An object of mass $1000 \ g$ experiences a time-dependent force $\vec{F} = (2t \hat{i} + 3t^2 \hat{j}) \ N$. The power generated by the force at time $t$ is

The velocity $v$ reached by a car of mass $m$ at a certain distance from the starting point, driven with constant power $P$, is such that:

Vedclass Test Series

Exam Paper Generator

Online Exam Module