Question

A human hair is approximately 50 um in diameter. Express this diameter in meters.

Answer 1

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:

$1 ~ foot = 30.48 ~ cm$

$1 ~ inch = 2.54 ~ cm$

$1 ~ foot = 12 ~ inches$

$1 ~ mile = 1609.34 ~ metres$

$1 ~ yard = 0,9144 ~ metres$

$1 ~\mu m = 1 \times 10^{-6} ~ m$

Let us now tackle the problem !

Given:

A human hair is approximately 50 μm in diameter.

$1 ~\mu m = 1 \times 10^{-6} ~ m$

$50 ~\mu m = 50 \times 10^{-6} ~ m$

$50 ~\mu m = 5 \times 10^1 \times 10^{-6} ~ m$

$50 ~\mu m = 5 \times 10^{1-6} ~ m$

$\large {\boxed {50 ~\mu m = 5 \times 10^{-5} ~ m} }$

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

Answer 2

Answer:

The answer is 0.00005 meters

Explanation:

In order to determine the diameter in meters, you have to know the meaning of the unit [um]. This unit is called "micrometer" and its value is $10^-^6m=0.000001$ m.

Then, we change the [um] unit into its expanding form:

50 um=$50*10^-^6m=50*0.000001m=0.00005m$

Finally, the diameter in meters is 0.00005 meters.