Two lock gates of `7.5 m` height are provided in a canal of `16 m` width meeting at an angle of `120^@`. Calculate the force acting on each gate when the depth of water in upstream side is `5 m`.

The lock gate of a canal is 4.8m wide. the depth of water in one side of the gate is 4.5m and on another side is 3m. Calculate the total thrust acting on the gate.

A tank of 5m height is filled with water. Calculate the velocity of efflux through a hole, 3m below the surface of water.

The radius of a conical tent is 5m and its height is 12m. Calculate the length of the canvas used in making the tent if width of canvas is 2cm.

A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan ^(-1)((1)/(2)) . Water is poured into it at a constant rate of 5 cu m/min. Then, the rate (in m/min) at which the level of water is rising at the instant when the depth of water in the tank is 10 m is

A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan ^(-1)((1)/(2)) . Water is poured into it at a constant rate of 5 cu m/min. Then, the rate (in m/min) at which the level of water is rising at the instant when the depth of water in the tank is 10 m is

Neha covers a distance of 1,040 m when she takes two rounds of a triangular park with two sides measuring 120 m each. Find the length of the third side of the park.

The lockgate of a canal is 4.8 m broad. The depth of water on one side of the lockgate is 4.5 m and on the other side is 3m. Calculate the total thrust on the lockgate. The density of water = 1000kg*m^(-3) .

Two forces each of magnitude 10 N act simultaneously on a body with their directions inclined to each other at an angle of 120^@ and displaces the body over 10 m along the bisector of the angle between the two forces. Then the work done by force is

A canal lock gate is 4 m broad and the depth of water on opposite side of the gate are 5m and 2m . Find the resultant thrust on the gate and the torque tending to ture the gate about its base. Density of water = 1000 kg m^(-3) and g = 9.8 m s^(-2)