, PRECIPITATION
1. Assuming a rain falling vertically, express the catch of a gage inclined 20° from
the vertical as a percentage of the catch for the same gage installed vertically.
, 3. With a Z value of 300,000 mm6/m3, what are the rainfall rates, in mm/hr,
indicated by the Z-R relationships with a and b values of (a) 200 and 1.6 and (b)
300 and 1.4, respectively?
𝑮𝑰𝑽𝑬𝑵: 𝑍 = 300,000 𝑚𝑚6/𝑚3
(𝑎) 𝑎 = 200 𝑎𝑛𝑑 𝑏 = 1.6(𝑏) 𝑎 = 300 𝑎𝑛𝑑 𝑏 = 1.4
𝑹𝑬𝑸𝑼𝑰𝑹𝑬𝑫: 𝑟𝑎𝑖𝑛𝑓𝑎𝑙𝑙 𝑟𝑎𝑡𝑒 (𝑅)
𝑺𝑶𝑳𝑼𝑻𝑰𝑶𝑵: 𝑈𝑠𝑒 𝑡ℎ𝑒 𝑓𝑜𝑟𝑚𝑢𝑙𝑎 :
𝑅 = 𝑎𝑍 𝑏
For: a = 200 and b = 1.6
𝑅 = (200) (300 000)1.6
𝑅 = 𝟏. 𝟏𝟔𝟎 𝒙 𝟏𝟎𝟏𝟏 𝒎𝒎/𝒉𝒓
For: a = 300 and b = 1.4
𝑅 = (300) (300 000)1.4
𝑅 = 𝟏. 𝟑𝟗𝟕 𝒙 𝟏𝟎𝟏𝟎 𝒎𝒎/𝒉𝒓
4. Comparison of rain-gage measurements with rainfall rates estimated by radar
using the standard Z-R relationship shows that the rates measured by the gage
are 2.5 times those indicated by radar. If the b exponent is assumed to be correct,
what is the value of a?
5. Precipitation station X was inoperative for part of a month during which a storm
occurred. The respective storm totals at three surrounding stations, A, B, and C,
were 98, 80, 110 mm. The normal annual precipitation amounts at stations X, A,
B, and C, are, respectively, 880, 1008, 842, and 1080 mm. Estimate the storm
precipitation for station X.
GIVEN: storm precipitation at A = 98 mm.
storm precipitation at B = 80 mm.
storm precipitation at C = 110 mm.
normal annual precipitation at X = 880 mm.
normal annual precipitation at A = 1008 mm.
normal annual precipitation at B = 842 mm.
normal annual precipitation at C = 1080 mm.
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