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Answer :
Final answer:
The pressure on the floor of the grain silo is approximately 6300 pounds per square foot.
So, the correct answer is B.
Explanation:
To find the pressure on the silo floor, we need to apply the formula for pressure, which is defined as force divided by area. In this case, the force is the weight of the wheat, and the area is the area of the silo floor. Given that the total weight of the wheat is 2,400,000 pounds, and the diameter of the floor is 22 feet, we need to calculate the area of the floor using the formula for the area of a circle, which is πr² (where r is the radius of the floor). The radius of the floor would be half of the diameter, so it's 11 feet.
So, Area = πr² = π(11)² = 380.13 square feet.
Then, using the formula for pressure (Pressure = Force/Area), you can find the pressure on the silo's floor.
Pressure = 2,400,000 pounds / 380.13 square feet = 6313.5 lbs/ft² (rounded to the nearest whole number).
So, the closest and the most accurate answer would be option b. 6300 lbs/ft².
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