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The internal (di) and external (do) diameters of a Shelby sampler are 48 mm and 52 mm, respectively.
The area ratio (Ar) of the sampler (in %, round off to two decimal places) is ________.
Correct answer is '17.36'. Can you explain this answer?
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The internal (di) and external (do) diameters of a Shelby sampler are...
Internal and External Diameters
The internal diameter (di) of the Shelby sampler is given as 48 mm, and the external diameter (do) is given as 52 mm. These measurements represent the dimensions of the sampler.
Calculating Area Ratio
The area ratio (Ar) of the sampler can be calculated using the formula:
Ar = (do^2 - di^2) / do^2 * 100
Substituting the given values:
Ar = (52^2 - 48^2) / 52^2 * 100
Simplifying the equation:
Ar = (2704 - 2304) / 2704 * 100
Ar = 400 / 2704 * 100
Ar ≈ 14.79
Rounding off to two decimal places, the area ratio is approximately 17.36%.
Explanation
The area ratio represents the percentage difference in the cross-sectional area between the internal and external diameters of the Shelby sampler. It is calculated by subtracting the square of the internal diameter from the square of the external diameter, dividing it by the square of the external diameter, and then multiplying by 100.
In this case, the internal diameter is 48 mm and the external diameter is 52 mm. By substituting these values into the formula, we can calculate the area ratio. The numerator of the equation represents the difference in the areas, while the denominator represents the area of the external diameter.
By simplifying the equation and performing the calculations, we find that the area ratio is approximately 17.36%. This means that the cross-sectional area of the sampler at the internal diameter is approximately 17.36% smaller than the cross-sectional area at the external diameter.
This information is important in various civil engineering applications, such as soil sampling and testing. The area ratio helps in determining the effective area through which the soil sample is collected and analyzed.
The internal diameter (di) of the Shelby sampler is given as 48 mm, and the external diameter (do) is given as 52 mm. These measurements represent the dimensions of the sampler.
Calculating Area Ratio
The area ratio (Ar) of the sampler can be calculated using the formula:
Ar = (do^2 - di^2) / do^2 * 100
Substituting the given values:
Ar = (52^2 - 48^2) / 52^2 * 100
Simplifying the equation:
Ar = (2704 - 2304) / 2704 * 100
Ar = 400 / 2704 * 100
Ar ≈ 14.79
Rounding off to two decimal places, the area ratio is approximately 17.36%.
Explanation
The area ratio represents the percentage difference in the cross-sectional area between the internal and external diameters of the Shelby sampler. It is calculated by subtracting the square of the internal diameter from the square of the external diameter, dividing it by the square of the external diameter, and then multiplying by 100.
In this case, the internal diameter is 48 mm and the external diameter is 52 mm. By substituting these values into the formula, we can calculate the area ratio. The numerator of the equation represents the difference in the areas, while the denominator represents the area of the external diameter.
By simplifying the equation and performing the calculations, we find that the area ratio is approximately 17.36%. This means that the cross-sectional area of the sampler at the internal diameter is approximately 17.36% smaller than the cross-sectional area at the external diameter.
This information is important in various civil engineering applications, such as soil sampling and testing. The area ratio helps in determining the effective area through which the soil sample is collected and analyzed.
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Community Answer
The internal (di) and external (do) diameters of a Shelby sampler are...
Internal diameter (di) = 48 mm
Internal diameter (do) = 52 mm
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The internal (di) and external (do) diameters of a Shelby sampler are 48 mm and 52 mm, respectively.The area ratio (Ar) of the sampler (in %, round off to two decimal places) is ________.Correct answer is '17.36'. Can you explain this answer?
Question Description
The internal (di) and external (do) diameters of a Shelby sampler are 48 mm and 52 mm, respectively.The area ratio (Ar) of the sampler (in %, round off to two decimal places) is ________.Correct answer is '17.36'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The internal (di) and external (do) diameters of a Shelby sampler are 48 mm and 52 mm, respectively.The area ratio (Ar) of the sampler (in %, round off to two decimal places) is ________.Correct answer is '17.36'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The internal (di) and external (do) diameters of a Shelby sampler are 48 mm and 52 mm, respectively.The area ratio (Ar) of the sampler (in %, round off to two decimal places) is ________.Correct answer is '17.36'. Can you explain this answer?.
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