Advertisements
Advertisements
Question
40000 litre of oil of density 0.9 g/cc is pumped from an oil tanker ship into a storage tank at 10 m higher level than the ship in half an hour. What should be the power of the pump?
Solution
Given:
h = 10 m, ρ = 0.9 g/cc = 900 kg/m3, g = 10 m/s2,
V = 40000 litre = 40000 × 103 × 10-6 m3 = 40 m3
T = 30 min = 1800 s
To find: Power(P)
Formula: P = `"W"/"t" = ("h"rho"gV")/"t"`
Calculation: From formula,
P = `(10 xx 900 xx 10 xx 40)/1800`
∴ P = 2000 W
∴ P = 2 kW
The power of the pump is 2 kW.
APPEARS IN
RELATED QUESTIONS
Among the four fundamental forces, only one force governs your daily life almost entirely. Justify the statement by stating that force.
Answer the following question.
You are sitting next to your friend on ground. Is there any gravitational force of attraction between you two? If so, why are you not coming together naturally? Is any force other than the gravitational force of the earth coming in the picture?
Answer the following question.
Distinguish between real and pseudo force.
Answer the following question.
Distinguish between contact and non-contact forces
Solve the following problem.
As I was standing on a weighing machine inside a lift it recorded 50 kg wt. Suddenly for a few seconds, it recorded 45 kg wt. What must have happened during that time? Explain with complete numerical analysis.
Solve the following problem.
Power is the rate of doing work or the rate at which energy is supplied to the system. A constant force F is applied to a body of mass m. Power delivered by the force at time t from the start is proportional to ______.
Derive the expression for power in terms of F, m, and t.
Variation of a force in a certain region is given by F = 6x2 – 4x – 8. It displaces an object from x = 1 m to x = 2 m in this region. Calculate the amount of work done.
Two bodies A and B of equal mass are suspended from two separate massles springs of force constant k1 and k2, respectively. The bodies oscillate vertically such that their maximum velocities are equal. The ratio of the amplitudes of body A to that of body B is ______.
Two particles of mass m1 and m2, approach each other due to their mutual gravitational attraction only. Then ______.
A body of mass 'm' begins to move under the action of time-dependent force `vec"F" = ("t"hat"i" + 2"t"^2hat"j")`N where `hat"i" and hat"j"` are unit vectors along x and y axis respectively. The power developed by the force in watt at time 't' is ______.
What is the amount of work done by a person when
- he holds a mass of 2 kg for 5 second and
- he lifts the same mass through 1 meter to keep it on the top of a table? g = 9.8 m/s2
A force of F = `("x"/2 + 15) "N"` acts on a particle. If x 2 is in metre, calculate the work done by the force during the displacement of the particle from x = 0 to x = 4 m
A force F = (10 + 0.5 x) N acts on a particle in the x-direction. The work done by the force in displacing the particle from x = 0 to x = 2 metre is ______.
Work done in sliding a 1 kg block up a rough inclined plane of height 5 m is 100 J. Work done against the friction is ______.
(g = 10 m/s2)
'n' number of balls each having mass 'm' and velocity 'u' hit a wall elastically and normally in 2 seconds. The force exerted by them on the wall is ______.
Out of the fundamental forces in nature, maximum and minimum range is respectively for ______.
A force F acting on an object varies with distance x as shown here. The force is in N and x in m. The work done by the force in moving the object from x = 0 to x = 6 m is ______.
Two rods of same length and transfer a given amount of heat 12 second, when they are joined as shown in figure (i), But when they are joined as shown in figure (ii), then they will transfer same heat in same conditions in ______.
A gardener pushes a lawn roller through a distance of 20 m. If he applies a force of 30 kg-wt in a direction inclined at 60° to the ground, the work done by the gardener in pushing the roller is ______.
`["g" = 9.8 "m""/""s"^2, sin30^circ = cos60^circ = 1/2, cos30^circ = sin60^circ = sqrt3/2]`
