Water flows into a large tank with flat bottom at the rate of `10^(-4) m^(3)s^(-1)`. Water is also leaking out of a hole of area 1 `cm^(2)` at its bottom. If the height of the water in the tank remains steady, then this height is :
The level of water in a tank is 5 m high . A hole of the area 10 cm^2 is made in the bottom of the tank . The rate of leakage of water from the hole is
A cylindrical tank whose cross-section area is 2000 cm^2 has a hole in its bottom 1 cm ^2 in area. (i) If the water is allowed to flow into the tank from a tube above it at the rate of 140 cm ^3//s , how high will the water in the tank rise ? (ii) If the flow of water into the tank is stopped after the above height has been reached, how long will it take for tank to empty itself through the hole?
The level of water in a tank is 5m high.A hole of area 1cm^2 is made in the bottom of the tank. The rate of leakage of water from the hole is (g=10ms^(-2)
Water is being poured in a vessel at a constant rate alpha m^(2)//s . There is a small hole of area a at the bottom of the tank. The maximum level of water in the vessel is proportional to
Water is dripping out from a conical funnel of semi-vertical angle (pi)/(4) at the uniform rate of 2cm^(2)/sec in its surface area through a tiny hole at the vertex in the bottom.When the slant height of the water is 4cm ,find the rate of decrease of the slant height of the water.
Water is dripping out from a conical funnel at a uniform rate of 4cm^(3)/cm through a tiny hole at the vertex in the bottom.When the slant height of the water is 3cm ,find the rate of decrease of the slant height of the water- cone.Given that the vertical angle of the funnel is 120^(@).
Water flows out of a small hole in the wall of a large tank near its bottom. What is the speed of efflux of water when height of water level in the tank is 5.0 m ?
A tank filled with fresh water has a hole in its bottom and water is flowing out of it. If the size of the hole is increased, then
A flat bottomed metal tank of water is dragged along a horizontal floor at the rate of 20 ms^(-1) . The tank is of mass 20kg and contains 1000 kg of water and all the heat produced in the dragging is conducted to the water through the bottom plate of the tank. If the bottom plate has an effective area of conduction 1 m^2 and a thickness 5 cm and the temperature of the water in the tank remains constant at 50^(@)C , calculate the temperature of the bottom surface of the tank, given the coefficient of friction between the tank and the floor is 0.343 and K for the material of the tank is 25 cal m^(-1) s^(-1) K^(-1).
