0/0064 Gs=? Ms

Physics

ScanSolve AI Answer

Answer

6.4 Ms6.4\ \text{Ms}

Step-by-step solution

3 steps
  1. Understand the conversion factors

    We need to convert Gigaseconds (Gs) to Megaseconds (Ms).
    The prefixes Giga (G) and Mega (M) represent powers of 10:
    1 Giga = 10910^9
    1 Mega = 10610^6

  2. Establish the relationship between Gs and Ms

    To convert from Gs to Ms, we can set up a ratio:
    1 Gs=1×109 s1\ \text{Gs} = 1 \times 10^9\ \text{s}
    1 Ms=1×106 s1\ \text{Ms} = 1 \times 10^6\ \text{s}

    Therefore, 1 Gs=109 s106 s Ms=109−6 Ms=103 Ms1\ \text{Gs} = \frac{10^9\ \text{s}}{10^6\ \text{s}}\ \text{Ms} = 10^{9-6}\ \text{Ms} = 10^3\ \text{Ms}
    So, 1 Gs=1000 Ms1\ \text{Gs} = 1000\ \text{Ms}.

  3. Perform the conversion

    Multiply the given value in Gs by the conversion factor:
    0.0064 Gs×1000 Ms1 Gs0.0064\ \text{Gs} \times \frac{1000\ \text{Ms}}{1\ \text{Gs}}
    0.0064×1000 Ms=6.4 Ms0.0064 \times 1000\ \text{Ms} = 6.4\ \text{Ms}

    The final answer is 6.4 Ms6.4\ \text{Ms}.

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