Soru

Zorluk: KolayHydrostatic Pressure

A large dam holds back a deep reservoir of fresh water. Three pressure sensors are installed on the submerged face of the dam at different depths: Sensor X is 10 meters below the water surface, Sensor Y is 2 meters below the water surface, and Sensor Z is 25 meters below the water surface. Arrange the sensors in order from the LOWEST hydrostatic pressure to the HIGHEST hydrostatic pressure.

  1. 1Sensor Y (2 meters below surface)
  2. 2Sensor X (10 meters below surface)
  3. 3Sensor Z (25 meters below surface)

Cevap

The correct order from lowest to highest hydrostatic pressure is: Sensor Y, Sensor X, and Sensor Z.
Hydrostatic pressure is determined by the density of the fluid, gravity, and the depth of the fluid. Because the fluid (fresh water) is consistent across all sensors, the pressure depends entirely on the depth. The sensor closest to the water's surface (Sensor Y at 2 meters) experiences the least amount of downward force from the water column above it, giving it the lowest pressure. The sensor furthest down (Sensor Z at 25 meters) experiences the most force, resulting in the highest pressure.

Adım Adım Çözüm

1
Identify the relationship between depth and hydrostatic pressure.
Hydrostatic pressure increases as the depth of the fluid increases.
The formula for hydrostatic pressure, P=ρghP = \rho g h, demonstrates that pressure (PP) is directly proportional to depth (hh).
2
Compare the vertical depths of the three sensors.
Sensor Y is at 2 meters, Sensor X is at 10 meters, and Sensor Z is at 25 meters.
Determining the relative depths is required to compare the relative pressures.
3
Order the sensors based on depth to find the sequence from lowest to highest pressure.
Lowest pressure is at Sensor Y, followed by Sensor X, and the highest is at Sensor Z.
Because the question asks for the order from lowest to highest pressure, the items must be arranged from the shallowest depth to the deepest depth.

Anahtar Kavram

Hydrostatic pressure in a fluid increases proportionally with depth.
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