Respuesta :

Space

Answer:

[tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]

General Formulas and Concepts:

Math

  • Dimensional Analysis

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Pre-Calculus

  • Angular Speed: 2π rad per revolution

Step-by-step explanation:

Step 1: Define

68 revolutions per minute

Step 2: Identify Conversions

2π rad per revolution

60 seconds = 1 minute

Step 2: Convert

  1. [DA] Set up:                                                                                                     [tex]\displaystyle \frac{68 \ rev}{1 \ min} \cdot \frac{2 \pi \ rad}{1 \ rev} \cdot \frac{1 \ min}{60 \ sec}[/tex]
  2. [DA] Multiply/Divide [Cancel out units]:                                                          [tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]

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