Give an order of magnitude estimate for the following quantities:(a) the – [Free] B30
Give an order of magnitude estimate for the following quantities: (a) the height of a giraffe (b) the mass of an apple (c) the reaction time of a human (d) the diameter of a planet (e) the temperature in this room.
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Answer
Measured in meters. Average height is 5โ6 meters. Converted: 5 ร 10ยน m โ 6 ร 10ยน m. As A โฅ 5, the Order of Magnitude = 10ยน.
Measured in kilograms. Average mass is 100โ200 grams. Converted: 0.1โ0.2 kg = 1 ร 10โปยน โ 2 ร 10โปยน kg. A < 5, so Order of Magnitude = 10โปยน.
Measured in seconds. Average reaction time โ 250 milliseconds = 0.25 s. Converted: 0.25 s = 2.5 ร 10โปยน s. A < 5, so Order of Magnitude = 10โปยน.
Considering Earth: Diameter โ 1.28 ร 10โท m. A = 1.28 < 5, so Order of Magnitude = 10โท.
Measured in Kelvin. Estimated temperature โ 283 K. Converted to Celsius: 283 โ 273.15 = 9.85ยฐC. Expressed as: 0.985 ร 10ยน A > 5, so Order of Magnitude = 10ยน.