Fluids Dynamics

A tank has a hole 3 meters below the surface of the water. Assuming g=9.8 m/s², what is the speed of the water as it exits through the hole?

• 7.67 m/s

• 4.5 m/s

• 8.4 m/s

• 9.9 m/s

Water flows through a pipe with a cross-sectional area of 0.03 m² at a velocity of 1.8 m/s. What is the flow rate?

• 0.045 m³/s

• 0.054 m³/s

• 0.36 m³/s

• 0.018 m³/s

A fluid has a flow rate of 0.08 m³/s. If the velocity at the entrance is 0.4 m/s, find the cross-sectional area.

• 0.20 m²

• 0.04 m²

• 0.16 m²

• 0.08 m²

An object with a density of 850 kg/m³ is submerged in a liquid with a density of 950 kg/m³. Its volume is 1.5 m³. Find the buoyant force.

• 13,965 N

• 14,700 N

• 15,000 N

• 16,200 N

A fluid with a density of 1100 kg/m³ is at a depth of 6 m. Calculate the pressure at that depth.

• 64,680 Pa

• 72,000 Pa

• 60,000 Pa

• 70,000 Pa

In a pipe, the fluid velocity is 0.6 m/s when the area is 0.04 m². If the area decreases to 0.02 m², what will be the new velocity (assuming constant flow)?

• 1.2 m/s

• 0.3 m/s

• 0.6 m/s

• 2.4 m/s

A hose with a diameter of 0.08 m has a flow rate of 0.01 m³/s. What is the speed of the water?

• 2.5 m/s

• 1.9 m/s

• 3.0 m/s

• 4.1 m/s

A solid block with a volume of 0.3 m³ is completely submerged in water. What is the buoyant force?

• 2,940 N

• 3,000 N

• 2,800 N

• 4,000 N

The water in a tank has a depth of 7 m. Find the velocity of the water that exits through a small hole at the bottom.

• 10.5 m/s

• 9.0 m/s

• 11.71 m/s

• 8.3 m/s

A fluid with a density of 870 kg/m³ exerts pressure at a depth of 8 m. Calculate that pressure.

• 68,208 Pa

• 70,000 Pa

• 64,000 Pa

• 72,800 Pa