Hydrology: additional unit conversion problems …

hydrology : additional unit conversion problems ( solutions ) 1. You measure a distance of stream channel on a 1:50,000 scale topographic map. What is the actual distance of that stream reach in miles? Known information: inches map distance Scale: 1 inch (map distance) = 50,000 inches (ground distance) Conversions: 12 inches = 1 foot 5,280 feet = 1 mile Solution: ( in map distance) (50,000 in ground distance / 1 in map distance) (1 ft / 12 in) (1 mi / 5,280 ft) = miles 2. A rectangular parcel measures x inches on a 1:24,000 topographic map. What is the size of that parcel in square miles? Known information: x inches map distance Scale: 1 inch (map distance) = 24,000 inches (ground distance) Conversions: 12 inches = 1 foot 5,280 feet = 1 mile Solution: Convert linear map distances to miles of ground distance, then multiply: ( in map distance) (24,000 in ground distance / 1 in map distance) (1 ft / 12 in) (1 mi / 5280 ft) = miles ( in map distance) (24,000 in ground distance / 1 in map distance) (1 ft / 12 in) (1 mi / 5280 ft) = miles Area = ( mi) ( mi) = mi2 Note: Do not apply the map scale for distance (1: 24,000) to area units.

Hydrology: additional unit conversion problems (solutions) 1. You measure a 4.5-inch distance of stream channel on a 1:50,000 scale topographic map.

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