Suppose someone invents a new unit of length called a zizzle. If 3.5 zizzles = 1 meter, what is 11.9 zizzles/s in km/hour?
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To find the conversion from zizzles/s to km/hour, we need to establish the conversion factors between meters, zizzles, seconds, kilometers, and hours.
Given that 3.5 zizzles = 1 meter, we can write the conversion factor as:
1 meter = 3.5 zizzles
Now, we need to find the relationship between meters and kilometers. Since 1 kilometer is equal to 1000 meters, we can write the conversion factor as:
1 kilometer = 1000 meters
Next, we need to establish the relationship between seconds and hours. Since there are 60 seconds in a minute and 60 minutes in an hour, we can write the conversion as:
1 hour = 60 minutes = 3600 seconds
Now, let's convert from zizzles/s to km/hour:
Step 1: Convert zizzles to meters
Multiply the given value of zizzles by the conversion factor:
11.9 zizzles/s * (1 meter / 3.5 zizzles) = 3.4 meters/s
Step 2: Convert meters to kilometers
Multiply the value in meters by the conversion factor:
3.4 meters/s * (1 kilometer / 1000 meters) = 0.0034 kilometers/s
Step 3: Convert seconds to hours
Multiply the value in kilometers by the conversion factor:
0.0034 kilometers/s * (3600 seconds / 1 hour) = 12.24 kilometers/hour
Therefore, 11.9 zizzles/s is equivalent to approximately 12.24 kilometers/hour.