Review: Special Measuring Devices, Tables, Ratios And Proportions

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Quizzes Created: 13 | Total Attempts: 7,886
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  • 1/10 Questions

    A device used to measure construction drawings. It is divided into 10, 20, 30, 40, 50, or 60 parts.

    • Architect's Scale
    • Standard Ruler
    • Engineer's Scale
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About This Quiz

This quiz covers specialized measuring devices and mathematical concepts such as scales, ratios, and proportions. It assesses understanding of architect's and engineer's scales, usage of comparative tables, and calculations involving gear revolutions and solution mixtures, relevant for students in fields like architecture and engineering.

Review: Special Measuring Devices, Tables, Ratios And Proportions - Quiz

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  • 2. 

    A pump has to inject 3 ounces of dye into a solution for every 3.5 gallons of that solution. If I need 17.5 gallons of solution, how many ounces of dye will need to be injected into the solution?

    • 20 oz.

    • 0.6 oz.

    • 15 oz.

    Correct Answer
    A. 15 oz.
    Explanation
    This proportion is directly related. The MORE solution prepared, the MORE dye that is needed.
    3 oz / x = 3.5 gal / 17.5 gal; x = 15 oz.

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  • 3. 

    Two gears are connected by a chain. A 12 inch gear with 30 teeth drives a 36 inch gear with 90 teeth. How many revolutions will the 12 inch gear complete to turn the 36 inch gear 2 revolutions?

    • 6 revolutions

    • 4 revolutions

    • 2 revolutions

    Correct Answer
    A. 6 revolutions
    Explanation
    First, we have to determine if the ratio is inversely or directly related. The BIGGER the gear, the LESS revolutions; the SMALLER the gear, the MORE revolutions. Therefore, the proportion is INVERSELY related. 12 in / 36 in = 2 turns / x; x = 6 turns

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  • 4. 

    Two gears are connected by a chain. A 12 inch gear with 30 teeth drives a 36 inch gear with 90 teeth. How many revolutions will the 36 inch gear need to complete to turn the 12 inch gear 10 times?

    • 3.33 revolutions

    • 5 revolutions

    • 30 revolutions

    Correct Answer
    A. 3.33 revolutions
    Explanation
    This proportion is inversely related. The BIGGER gear will turn LESS revoultions. The SMALLER gear will turn MORE revolutions. 12 in / 36 in = x revolutions/ 10 revolutions.; x = 3.33 revolutions

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  • 5. 

    Tables provide comparative values of related _____________ .

    • Quantities

    • Calculations

    • Factors

    Correct Answer
    A. Quantities
    Explanation
    Tables are used to present data in a structured and organized manner. They allow for easy comparison of different quantities or values that are related to each other. By looking at a table, one can quickly identify and compare the values of different quantities, making it easier to analyze and draw conclusions. Therefore, tables provide comparative values of related quantities.

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  • 6. 

    Sometimes the number of units to be converted may not be found on a table. When this happens, the answer can be calculated using addition or division

    • True

    • False

    Correct Answer
    A. False
    Explanation
    Correct answer: The answer can be calculated using addition or multiplication.

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  • 7. 

    A scale that is divided where inches or fractions of an inch represent feet.

    • Engineer's Scale

    • Standard Ruler

    • Architect's Scale

    Correct Answer
    A. Architect's Scale
    Explanation
    An architect's scale is a scale that is divided where inches or fractions of an inch represent feet. This scale is specifically designed for architects to accurately measure and draw scaled floor plans, elevations, and other architectural drawings. It allows them to easily convert measurements from the real world into a smaller, more manageable scale on paper. Unlike a standard ruler or engineer's scale, an architect's scale is specifically calibrated for architectural measurements and is an essential tool for architects in their design and drafting process.

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  • 8. 

    A 10 inch diameter pulley that spins at 90 rpms is connected, by a belt, to a larger pulley. The larger pulley needs to turn at 20 rpms (revolutions per minute). What does the diameter of the larger pulley have to be in order to turn at 20 rpms?

    • 2 inches

    • 45 inches

    • 36 inches

    Correct Answer
    A. 45 inches
    Explanation
    This proportion is inversely related. The BIGGER the diameter of a pulley, the SLOWER the speed. The SMALLER the diameter of a pulley, the FASTER the speed. 10 inch / x inch = 20 rpms / 90 rpms; x = 45 inches.

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  • 9. 

    What is the gear ratio between the diameters of a 54 foot diameter gear rotated by a drive motor with a 36 inch gear?

    • 54/1

    • 18/1

    • 1.5/1

    Correct Answer
    A. 18/1
    Explanation
    You have to convert 36 inches to feet. When determining gear ratios, units have to be the same.
    (36 inches)(1ft/12inches) = 3 feet
    Gear Ratio - driven gear/drive motor
    Gear Ratio - 54 ft / 3 ft = 18/1

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  • 10. 

    A turbine turns at 15,000 rpms. The turbine drives a compressor at a rate of 125 cycles per second. What is the gear ratio of compressor speed to turbine speed?

    • 2/1

    • 1.33/1

    • 120/1

    Correct Answer
    A. 2/1
    Explanation
    In order to calculate the gear ratio in this problem, you must convert cycles per second to cycles per minute. The units in a gear ratio have to be the same. We can assume that cycles and revolutions are the same.
    (125 cpm)(60 sec/min) = 7500 cycles per minute.
    Gear Ratio - turbine speed/compressor speed
    Gear Ratio - 15,000 rpm/7500 cpm = 2/1

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  • Current Version
  • Aug 31, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 18, 2013
    Quiz Created by
    Phillipssg
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