**Transcription:**The spring of the pressure gauge shown in the figure below has a force constant of 1300 N/m, and the piston has a diameter of 1.60 cm. As the gauge is lowered into water in a lake, what change in depth causes the piston to move in by 0.520 cm?**Diagram Explanation:**The diagram shows a pressure gauge with a cylindrical shape, featuring the following components:- **Spring:** Positioned vertically inside the gauge.- **Piston:** Situated above the spring. The piston is pushed down into the gauge, compressing the spring when force \( F \) is applied.- **Vacuum:** The space inside the gauge where the spring is located, indicating that no air resistance affects the spring.- **Label 'k':** Represents the spring constant, given as 1300 N/m, which measures the stiffness of the spring.- **Arrow \( F \):** Points downward on the piston, representing the force applied to compress the spring.- **Measurement 'm':** Adjacent to the diagram, denoting distance or depth, relevant to how much the piston is compressed.This educational transcription helps in understanding the behavior of the spring within the gauge as the pressure changes when submerged in water.

Name: **Transcription:**The spring of the pressure gauge shown in the figur
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Description: **Transcription:**The spring of the pressure gauge shown in the figure below has a force constant of 1300 N/m, and the piston has a diameter of 1.60 cm. As the gauge is lowered into water in a lake, what change in depth causes the piston to move in

The pressure exerted on the gauge is P=ρgh

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The spring of the pressure gauge shown in the figure below has a force constant of 1 300 N/m, and the piston has a diameter of 1.60 cm. As the gauge is lowered into water in a lake, what change in depth causes the piston to move in by 0.520 cm? m Vacuum Wwww

The spring of the pressure gauge shown in the figure below has a force constant of 1 300 N/m, and the piston has a diameter of 1.60 cm. As the gauge is lowered into water in a lake, what change in depth causes the piston to move in by 0.520 cm? m Vacuum Wwww

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Chapter1: Units, Trigonometry. And Vectors

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Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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**Transcription:**

The spring of the pressure gauge shown in the figure below has a force constant of 1300 N/m, and the piston has a diameter of 1.60 cm. As the gauge is lowered into water in a lake, what change in depth causes the piston to move in by 0.520 cm?

**Diagram Explanation:**

The diagram shows a pressure gauge with a cylindrical shape, featuring the following components:

- **Spring:** Positioned vertically inside the gauge.
- **Piston:** Situated above the spring. The piston is pushed down into the gauge, compressing the spring when force \( F \) is applied.
- **Vacuum:** The space inside the gauge where the spring is located, indicating that no air resistance affects the spring.
- **Label 'k':** Represents the spring constant, given as 1300 N/m, which measures the stiffness of the spring.
- **Arrow \( F \):** Points downward on the piston, representing the force applied to compress the spring.
- **Measurement 'm':** Adjacent to the diagram, denoting distance or depth, relevant to how much the piston is compressed.

This educational transcription helps in understanding the behavior of the spring within the gauge as the pressure changes when submerged in water.

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