Home
Class 11
PHYSICS
A pump on the ground floor of a building...

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 efficiency of the pump is 30% . How much power is consumed by the pump ? (Density of water `10^(3) kg m^(-3) , g = 9.8 ms^(-2)` ) .

Text Solution

Verified by Experts

`"Given "V=30m^(3),t=15min=15xx60=900s`
`h=40m,eta=30%,"density"rho=10^(3)"kg "m^(-3),g=10 ms^(-2)`
`"Potential Energy"=mgh=Vrhogh=30xx10^(3)xx10xx40`
`"i.e Work done"=12xx10^(6)J." "therefore "power"="Energy"/"Time"=(12xx10^(-6))/(9xx10^(2))=1.33xx10^(4)W`
`"True power required"=100/50xx1.33xx10^(4)=4.433xx10^(4)W`
Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION QUESTION PAPER WITH ANSWER NORTH 2019

    SUBHASH PUBLICATION|Exercise PART-C|8 Videos

  • ANNUAL EXAMINATION QUESTION PAPER SOUTH-2018

    SUBHASH PUBLICATION|Exercise PART - D|9 Videos

  • ANNUAL EXAMINATION QUESTION PAPER WITH ANSWER SOUTH 2019

    SUBHASH PUBLICATION|Exercise PART-D|9 Videos

Similar Questions

Explore conceptually related problems

The power of motor pump is 2 KW. The water raised by the pump per minute to a height of 10 m. is nearly :

A cloud of thickness 10 m and area 10^(6)m^(2) is formed at a height of 2 km above the ground. If the density of water is 10^(3)kgm^(-3) , then calculate the potential energy of the cloud (g=9.8ms^(-2)) .

The relative density of silver is 10.8 and the density of water is 10 3 kg/ m^(2) . The density of silver is

Water enters in a turbine at a speed of 500 m/s and leaves at 400 m/s. If 2 xx 10^(3) kg/s of water flows and efficiency is 75%, then output power is

The relative density of silver is 10.8 and the density of water is 10 3 kg/ m^2 . The density of silver is

A water pump driven by petrol raises water at a rate of 0.5 m' min from a depth of 30 m. If the pump is 70% efficient, what power is developed by the engine?

The lower end of a capillary tube of diameter 2.00mm is dipped 8.00cm below the surface of water in a beaker. What is the pressure required in the tube in order to blow a hemispherical bubble at its end in water? The surface tension of water at temperature of the experiments is 7.30 times 10^2 Nm^-1 .1 atmospheric pressure =1.01 times 10^5 Pa density of water =1000 kg//m^3,g=9.80 ms^-2 . Also calculate the excess pressure.