question b and c. thank you The wind-chill index (that is, apparent temperature)
ID: 2858369 • Letter: Q
Question
question b and c. thank you
The wind-chill index (that is, apparent temperature) is a function W of actual temperature T (Degree C) and speed v (km/hr): W(T, v) = 13.12 + 0.6215T - 11.37v^0.16 + 0.3965T_v^0.16 Assume that T = -23 Degree C and v = 22 km/hr/Compute W/T and W/v at the point (-23, 22). If the actual temperature were to decrease by one degree, then by how much would you expect the apparent temperature to drop?(Use your answer in (a).) If the actual wind speed were to decrease by 1 km/hr, then by how much would you expect the apparent temperature to rise? (Use your answer in (a).)Explanation / Answer
1st we will find dw/dt and dw/dv and after that we will plug the values of T and V to get answer for b and c
dW/dt = 0.6215 + 0.3965v^0.16
dW/dv = -11.37.(+0.16).v^-0.84 + 0.3965.T.(+0.16).v^-0.84
= -1.82.v^-0.84 + 0.063.T.v^-0.84
At T =-15 and v = 30
dW/dt = 1.30
dW/dv = 0.159
b)So when at that situation the temperature drops 1 degree, W drops by 1.30
c) So when at that situation the wind speed increases by 1 km/h, W drops by 0.159
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