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Answer :
Final answer:
To find the pressure exerted by a 200 lb flange with a 10-inch diameter, one must convert the weight to Newtons, find the area in square meters using the radius, and then apply the equation for pressure. The final calculation yields a pressure close to 17.566 kPa, with the closest answer choice being A) 17.7 kPa.
Explanation:
To calculate the pressure exerted by a flange weighing 200 lbs resting on a table, we first need to convert the weight to the metric system, and then use the formula for pressure, which is pressure = force/area.
The diameter of the flange is 10 inches, so the radius is 5 inches. In metric units, the weight of 200 lbs is equivalent to 200 lbs * 4.44822 N/lb = 889.644 N (rounded to three significant digits).
The radius in meters is 5 inches * 0.0254 m/in = 0.127 m.
The area is then π * r² = 3.14159 * (0.127 m)² = 0.05067 m².
Finally, calculating the pressure gives us 889.644 N / 0.05067 m² = 17,566 Pa or 17.566 kPa.
Since none of the given options matches exactly, we must consider unit conversion or estimation errors, but the closest correct answer would be A) 17.7 kPa.
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