Shadows of the Limelight, Ch 16: Smoke and Mirrors

Input interpretation

sqrt((8×60 kg  (kilograms)×9.8 m/s^2  (meters per second squared))/(pi×1.22 kg/m^3  (kilograms per cubic meter)×1.5 (3 m/s  (meters per second))^2))

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Result

9.535 meters

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Unit conversions

31.28 feet

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Comparisons as length

 ~~ 0.79 × length of a pole with which I wouldn't touch Mr. Grinch ( 39.5 ft )

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Comparisons as height

 ~~ 0.33 × highest measured ocean wave during a tsunami (~~ 29 m )

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Comparison as diameter

 ~~ ( 0.23 ~~ 1/4 ) × diameter of the Hindenburg Zeppelin (~~ 41 m )

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Comparison as sound wavelength

 ~~ (0.6 to 560.4) × wavelength of an audible sound to a human ( 4×10^-5 to 0.05 speeds of sound in dry air at 15 °C and 1 atmosphere pressure/Hz )

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Interpretations

length

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Corresponding quantities

Light travel time t in vacuum from t = x/c:
  | 32 ns  (nanoseconds)

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Input interpretation

2.52 g/cm^3  (grams per cubic centimeter)×70.1 m^2  (square meters)×5 mm  (millimeters)

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Result

883000 grams

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Unit conversions

883 kg  (kilograms)

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Comparisons as mass

 ~~ 0.52 × small car mass (~~ 1700 kg )

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Interpretations

mass

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Corresponding quantities

Weight w of a body from w = mg:
  | 8.7 kN  (kilonewtons)
  | 8.662×10^8 dynes
  | 883260 ponds
  | 1947 lbf  (pounds-force)
  | 61 slugf  (slugs-force)

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Input interpretation

sqrt((8×943 kg  (kilograms)×9.8 m/s^2  (meters per second squared))/(pi×1.22 kg/m^3  (kilograms per cubic meter)×1.5 (3 m/s  (meters per second))^2))

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Result

37.8 meters

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Unit conversions

124 feet

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Comparisons as length

 ~~ ( 0.15 ~~ 1/6 ) × length of the Hindenburg Zeppelin (~~ 245 m )

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Comparison as width

 ~~ 0.73 × width of an American football field ( 169 ft )

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Comparisons as height

 ~~ 0.73 × height of Nelson's column (including statue) (~~ 169 ft )

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Comparison as diameter

 ~~ 0.92 × diameter of the Hindenburg Zeppelin (~~ 41 m )

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Comparison as sound wavelength

 ~~ (2 to 2000) × wavelength of an audible sound to a human ( 4×10^-5 to 0.05 speeds of sound in dry air at 15 °C and 1 atmosphere pressure/Hz )

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Interpretations

length

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Corresponding quantities

Light travel time t in vacuum from t = x/c:
  | 126 ns  (nanoseconds)

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