a man walks 0.9 miles around a shopping mall in a half an hour what is the speed in miles per hour in meters per second and in kilometers per day
factors:
1609 m/mi
3600 s/h
1000 m/km
24 hr/d
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(.9mi/.5h) = 1.8 mi/h
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now
(1.8mi/h)(1609m/mi)(1h/3600s)
= (1.8*1609/3600) m/s
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(1.8*1609/3600)m/s (1km/1000m)(3600*24 s/d)
= 1.8*1.609*24 km/d
To find the speed in miles per hour, we can use the formula:
Speed (in miles per hour) = Distance (in miles) / Time (in hours)
Given that the man walks 0.9 miles in half an hour:
Speed (in miles per hour) = 0.9 miles / 0.5 hours = 1.8 miles per hour
To convert the speed from miles per hour to meters per second, we need to use the conversion factors:
1 mile = 1609.34 meters
1 hour = 3600 seconds
So, the conversion factor from miles per hour to meters per second is:
Conversion factor = (1609.34 meters / 1 mile) / (3600 seconds / 1 hour)
Now, let's calculate the speed in meters per second:
Speed (in meters per second) = Speed (in miles per hour) * Conversion factor
Speed (in meters per second) = 1.8 miles per hour * (1609.34 meters / 1 mile) / (3600 seconds / 1 hour)
Simplifying the equation:
Speed (in meters per second) = 0.8047 meters per second
Finally, to find the speed in kilometers per day, we'll first convert the speed from miles per hour to kilometers per hour using the conversion factor:
1 mile = 1.60934 kilometers
1 hour = 24 hours (in one day)
Conversion factor = (1.60934 kilometers / 1 mile) * (1 hour / 24 hours)
Speed (in kilometers per day) = Speed (in miles per hour) * Conversion factor
Speed (in kilometers per day) = 1.8 miles per hour * (1.60934 kilometers / 1 mile) * (1 hour / 24 hours)
Simplifying the equation:
Speed (in kilometers per day) = 0.12064 kilometers per day