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Answer :
To convert an acceleration from meters per second squared (m/s²) to kilometers per hour squared (km/hr²), we follow these steps:
1. Understand the Units:
- We have the acceleration given as 940 m/s².
- We want to convert this to km/hr².
2. Conversion from Meters to Kilometers:
- There are 1,000 meters in a kilometer, so to convert meters to kilometers, we divide by 1,000.
- Conversion factor: [tex]\( 1 \text{ km} = 1,000 \text{ m} \)[/tex].
3. Conversion from Seconds Squared to Hours Squared:
- There are 3,600 seconds in an hour. Therefore, to convert seconds to hours, we multiply by 3,600.
- But because we are converting time squared (s² to hr²), we must square the conversion factor: [tex]\( (3,600)^2 \)[/tex].
4. Perform the Conversion:
- Start by converting meters to kilometers:
[tex]\[
940 \, \text{m/s}^2 \times \frac{1 \, \text{km}}{1,000 \, \text{m}} = 0.94 \, \text{km/s}^2
\][/tex]
- Then convert seconds squared to hours squared:
[tex]\[
0.94 \, \text{km/s}^2 \times (3,600)^2 \, \text{hr}^2/\text{s}^2
\][/tex]
5. Calculate the Final Value:
- The conversion factor for time is [tex]\((3,600 \text{ s/hr})^2 = 12,960,000\)[/tex].
- Thus, the complete conversion is:
[tex]\[
0.94 \, \text{km/s}^2 \times 12,960,000 \, \text{hr}^2/\text{s}^2 = 12,182,400 \, \text{km/hr}^2
\][/tex]
Therefore, 940 m/s² is equal to 12,182,400 km/hr².
1. Understand the Units:
- We have the acceleration given as 940 m/s².
- We want to convert this to km/hr².
2. Conversion from Meters to Kilometers:
- There are 1,000 meters in a kilometer, so to convert meters to kilometers, we divide by 1,000.
- Conversion factor: [tex]\( 1 \text{ km} = 1,000 \text{ m} \)[/tex].
3. Conversion from Seconds Squared to Hours Squared:
- There are 3,600 seconds in an hour. Therefore, to convert seconds to hours, we multiply by 3,600.
- But because we are converting time squared (s² to hr²), we must square the conversion factor: [tex]\( (3,600)^2 \)[/tex].
4. Perform the Conversion:
- Start by converting meters to kilometers:
[tex]\[
940 \, \text{m/s}^2 \times \frac{1 \, \text{km}}{1,000 \, \text{m}} = 0.94 \, \text{km/s}^2
\][/tex]
- Then convert seconds squared to hours squared:
[tex]\[
0.94 \, \text{km/s}^2 \times (3,600)^2 \, \text{hr}^2/\text{s}^2
\][/tex]
5. Calculate the Final Value:
- The conversion factor for time is [tex]\((3,600 \text{ s/hr})^2 = 12,960,000\)[/tex].
- Thus, the complete conversion is:
[tex]\[
0.94 \, \text{km/s}^2 \times 12,960,000 \, \text{hr}^2/\text{s}^2 = 12,182,400 \, \text{km/hr}^2
\][/tex]
Therefore, 940 m/s² is equal to 12,182,400 km/hr².
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