Q1. A large cylindrical water tank is mounted on a platform with its central axis vertical. The water level is 3.75 m above the base of the tank, and base is 6.50 m above the ground. A small hole 2.23 mm in diameter has formed in the base of the tank. Both the hole and the top of the tank are open to the air. We can ignore air resistance and treat water as an ideal fluid with a density of 1000 kg/m.
How many cubic meters of water per second is this tank losing?
Q2. A 1.05 kg beaker containing 2.32 kg of oil (density = 904 kg/m3) rests on a scale. A 2.14 kg block of iron is suspended from the spring scale and is completely submerged in the oil. Find out the equilibrium readings of both scales.