Question

convert the following measurement.

2.2×10^{4}\frac{m}{s^{2}}=\square\frac{cm}{ms^{2}}

Explanation:

Step1: Convert meters to centimeters

Since \(1\space m = 100\space cm\), so \(2.2\times10^{4}\space\frac{m}{s^{2}}=2.2\times10^{4}\times100\space\frac{cm}{s^{2}}\)

Step2: Convert seconds squared to milliseconds squared

Since \(1\space s = 1000\space ms\), then \(1\space s^{2}=(1000)^{2}\space ms^{2} = 10^{6}\space ms^{2}\). So we have \(2.2\times10^{4}\times100\space\frac{cm}{s^{2}}=\frac{2.2\times10^{4}\times100}{10^{6}}\space\frac{cm}{ms^{2}}\)

Step3: Calculate the result

\(\frac{2.2\times10^{4}\times100}{10^{6}}=\frac{2.2\times10^{6}}{10^{6}} = 2.2\)

Answer:

\(2.2\)