valve opening for the temperature change, physics question

Jan 14th, 2016
RockCafe
Category:
Engineering
Price: $5 USD

Question description

Each year thousands of children are badly burned by hot tap water. The figure below shows a cross-sectional view of an antiscalding faucet attachment designed to prevent such accidents. Within the device, a spring made of material with a high coefficient of thermal expansion controls a movable plunger. When the water temperature rises above a preset safe value, the expansion of the spring causes the plunger to shut off the water flow. Assuming that the initial length L of the unstressed spring is 2.25 cm and its coefficient of linear expansion is 22 ✕ 10-6 (°C)-1, determine the increase in length of the spring when the water temperature rises by 34.0°C. (You will find the increase in length to be small. Therefore, to provide a greater variation in valve opening for the temperature change anticipated, actual devices have a more complicated mechanical design.)

answer in cm

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