Respuesta :
A human hair is approximately 50 μm = 5 × 10⁻⁵ m in diameter
Further explanation
Some units of length and its conversion that need to be recalled are:
[tex]1 ~ foot = 30.48 ~ cm[/tex]
[tex]1 ~ inch = 2.54 ~ cm[/tex]
[tex]1 ~ foot = 12 ~ inches[/tex]
[tex]1 ~ mile = 1609.34 ~ metres[/tex]
[tex]1 ~ yard = 0,9144 ~ metres[/tex]
[tex]1 ~\mu m = 1 \times 10^{-6} ~ m[/tex]
Let us now tackle the problem !
Given:
A human hair is approximately 50 μm in diameter.
[tex]1 ~\mu m = 1 \times 10^{-6} ~ m[/tex]
[tex]50 ~\mu m = 50 \times 10^{-6} ~ m[/tex]
[tex]50 ~\mu m = 5 \times 10^1 \times 10^{-6} ~ m[/tex]
[tex]50 ~\mu m = 5 \times 10^{1-6} ~ m[/tex]
[tex]\large {\boxed {50 ~\mu m = 5 \times 10^{-5} ~ m} }[/tex]
Conclusion :
A human hair is approximately 50 μm = 5 × 10⁻⁵ m in diameter
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Answer details
Grade: High School
Subject: Mathematics
Chapter: Unit of Length
Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate , Length , Microscope
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The approximate diameter of a human hair expressed un meter is 0.000005m
The micrometer is a term of Greek origin that refers to a unit of length equivalent to one thousandth of a millimeter. A micrometer is represented by the symbol µm.
To begin, it is necessary to take into account that:
- 1m = 1'000.000µm
To express 50µm in meters, the following mathematical formula must be used.
- Хµm (1m / 1'000.000µm) = Хm
Then the Х must be replaced with the number of micrometers, that is 50µm and perform the mathematical operation as shown below.
- 50µm (1m / 1'000.000µm) = 0.000005m
According to the above, the correct answer is 0.000005m
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