High School

Carry out the following conversions. Report your answer to the correct number of significant figures.

(a) Convert 208 m/s to ft/min. Enter your answer in scientific notation.

(b) Convert 18.0 cm\(^3\) to in\(^3\).

(c) Convert 97.5 g/mL to lb/in\(^3\).

Answer :

Final answer:

This answer involves converting different physical units, where each conversion was carried out using known conversion factors. All answers are given in both standard and scientific notation.

Explanation:

Conversion of Units

This question revolves around carrying out conversions of different units of measure. It's essential to understand that before proceeding, we'll need some factors for these conversions:

  • 1 m/s is approximately 196.85 ft/min
  • 1 cm3 is approximately 0.061024 in3
  • 1 g/mL is approximately 0.0361273 lb/in3

To provide the answer in both standard and scientific notation, follow these steps:

  1. For (a), multiply 208 m/s by 196.85 ft/min to get approximately 40983.8 ft/min. In scientific notation, this is approximately 4.09838 × 104 ft/min.
  2. For (b), multiply 18.0 cm3 by 0.061024 in3 to get approximately 1.09843 in3. In scientific notation, this is approximately 1.09843 × 100 in3.
  3. For (c), multiply 97.5 g/mL by 0.0361273 lb/in3 to get approximately 3.52241 lb/in3. In scientific notation, this is approximately 3.52241 × 100 lb/in3.

Learn more about Unit Conversion here:

https://brainly.com/question/11543684

#SPJ11

Other Questions