Math

QuestionConvert the U.S. dime diameter of 18 mm18 \mathrm{~mm} to nanometers.

Studdy Solution

STEP 1

Assumptions1. The diameter of the U.S. dime is18 mm. We want to convert this diameter to nanometers3. The conversion factor from millimeters to nanometers is1 mm =1,000,000 nanometers

STEP 2

We need to convert the diameter from millimeters to nanometers. We can do this by multiplying the diameter in millimeters by the conversion factor.
iameternm=DiametermmtimesConversionfactoriameter_{nm} = Diameter_{mm} \\times Conversion\, factor

STEP 3

Now, plug in the given values for the diameter and the conversion factor to calculate the diameter in nanometers.
iameternm=18mmtimes1,000,000nm/mmiameter_{nm} =18\, mm \\times1,000,000\, nm/mm

STEP 4

Calculate the diameter in nanometers.
iameternm=18mmtimes1,000,000nm/mm=18,000,000nmiameter_{nm} =18\, mm \\times1,000,000\, nm/mm =18,000,000\, nmThe diameter of the U.S. dime is18,000,000 nanometers.

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