A safety valve with a 2-inch diameter disk...

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Question 1 of 205eccefa0bacbc34ba4d46d2c

A safety valve with a 2-inch diameter disk has a compressed spring applying 2,400 pounds of force to the top of the valve disk in opposition to system pressure. Which one of the following is the approximate system pressure at which the safety valve will open?

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🔍 Key Concepts

• Relationship between force, pressure, and area • How to calculate the area of a circle from its diameter • Converting total force on the disk into pressure (psi)

💭 Think About

• First, find the area of the valve disk using its diameter. What formula do you use for the area of a circle, and what units will the area have? • Once you have the area in square inches, how do you relate the 2,400 pounds of spring force to pressure (pounds per square inch)? • After calculating the pressure, which answer choice is closest to your computed value?

✅ Before You Answer

• Be sure the disk area is calculated using radius, not diameter, in the circle area formula • Confirm your units: force is in pounds (lb) and area should be in square inches (in²) to get pressure in psi • Double-check your division step: total force ÷ area should give you the approximate opening pressure before comparing with choices

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