Using your knowledge of metric units, English units, and the information on the back inside cover, write down the conversion factors needed to convert (a) \(\mu \mathrm{m}\) to \(\mathrm{mm},\) (b) \(\mathrm{ms}\) to \(\mathrm{ns}\), (c) \(\mathrm{mi}\) to \(\mathrm{km},\) (d) \(\mathrm{ft}^{3}\) to \(\mathrm{L}\)

Short Answer

Expert verified
The conversion factors needed for each conversion are as follows: 1. 1 μm = \( \frac{1}{1000}\) mm 2. 1 ms = 1,000,000 ns 3. 1 mi ≈ 1.60934 km 4. 1 ft³ ≈ 28.3168 L

Step by step solution

01

1. Convert μm to mm

In order to convert micrometers (μm) to millimeters (mm), we need to recall the relationship between them: 1 millimeter (mm) = 1000 micrometers (μm). Therefore, the conversion factor for μm to mm is: 1 μm = \( \frac{1}{1000}\) mm
02

2. Convert ms to ns

In order to convert milliseconds (ms) to nanoseconds (ns), we need to recall the relationship between them: 1 second (s) = 1000 milliseconds (ms) = 1,000,000,000 nanoseconds (ns). Therefore, the conversion factor for ms to ns is: 1 ms = 1,000,000 ns
03

3. Convert mi to km

In order to convert miles (mi) to kilometers (km), we need to recall the relationship between them: 1 mile (mi) ≈ 1.60934 kilometers (km). Therefore, the conversion factor for mi to km is: 1 mi ≈ 1.60934 km
04

4. Convert ft³ to L

In order to convert cubic feet (ft³) to liters (L), we need to recall the relationship between them: 1 cubic foot (ft³) ≈ 28.3168 liters (L). Therefore, the conversion factor for ft³ to L is: 1 ft³ ≈ 28.3168 L

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