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two pressure sensors are placed 10 m apart in water of constant depth. sensor 1 records the pressure on the bottom while sensor 2 records the pressure 5 m from the bottom. the records of the sensors show the variation of dynamic pressure with time. the maximum dynamic pressure readings are 2294.20 n/m² from sensor 1 and 2545.64 n/m² from sensor 2 . comparing the two records, it is found that the pressure maximum at sensor 2 is recorded 1.035 seconds after the pressure maximum at sensor 1 is recorded. determine the wavelength l , the wave period t , the water depth h and the wave height h .

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Final answer:

To calculate the wave properties, including wavelength, wave period, water depth, and wave height, one must use the principles of wave motion and fluid pressure. By analyzing the dynamic pressure data from two different depths and their time delay, the necessary wave characteristics can be determined through computations.

Step-by-step explanation:

The question involves the application of principles from the physics of wave motion and pressure in fluids to determine the properties of waves in water based on observations from pressure sensors. Given the maximum dynamic pressure readings of two sensors at different depths and the time delay between the maximum readings, it is possible to calculate the wave characteristics such as wavelength (l), wave period (t), water depth (h), and wave height (H) using relevant physics equations.

The wave speed (v) can be calculated by dividing the distance between the two sensors by the time difference in pressure maxima. Using the wave speed and the known properties of the water and dynamic pressure, the wavelength and period of the wave can be determined using wave motion equations. The pressure difference between the sensors can also provide information on the water depth and wave height, as pressure in a fluid is directly proportional to its depth (h) and density (ρ), according to the equation p = ρgh, where g is the acceleration due to gravity.

To solve the student's question, one would need to use the given data and the principles of hydrostatic pressure and wave motion to perform calculations and obtain the values for l, t, h, and H.

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