Questions: Convert 27 km/hr into m/s.

Transcript text: 7. Convert $27 \mathrm{~km} / \mathrm{hr}$ into $\mathrm{m} / \mathrm{s}$.

Solution

Solution Steps

Step 1: Understand the Conversion Factors

To convert from kilometers per hour (km/hr) to meters per second (m/s), we need to know the conversion factors:

1 kilometer = 1000 meters
1 hour = 3600 seconds

Step 2: Set Up the Conversion

We start with the given speed of $27 \, \text{km/hr}$. We will convert kilometers to meters and hours to seconds using the conversion factors.

Step 3: Convert Kilometers to Meters

Multiply the speed by the conversion factor for kilometers to meters: \[ 27 \, \text{km/hr} \times \frac{1000 \, \text{m}}{1 \, \text{km}} = 27000 \, \text{m/hr} \]

Step 4: Convert Hours to Seconds

Now, convert the result from meters per hour to meters per second by dividing by the number of seconds in an hour: \[ 27000 \, \text{m/hr} \div 3600 \, \text{s/hr} = 7.5 \, \text{m/s} \]

Final Answer

$\boxed{7.5 \, \text{m/s}}$

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