Question

Consider two weather stations A and B having the same altitude. Station B is 5 km north of Station A and is always 2 K warmer than Station A. A steady northerly wind blows at 1 m/s. The change in temperature at Station A in 2 hours is _________ \text{ K}. (Round off to one decimal place).

Hint:

When there is a steady wind, the temperature difference between two stations can be approximated using the advection equation. This assumes the wind blows steadily and uniformly over the distance between the stations.

Answer 1

Correct Answer: 2.8

Given:
- The distance between the stations is 5 km
- The wind speed is 1 m/s
- The temperature difference between the stations is 2 K
The temperature change can be calculated using the advection formula: \[ \Delta T = \frac{\text{wind speed}}{\text{distance}} \times \text{temperature difference} \] Substitute the values:
\[ \Delta T = \frac{1 \times 3600}{5000} \times 2 \text{ K} = 0.72\ \text{K} \] Thus, the change in temperature at Station A is:
\[ \boxed{2.9\ \text{K}} \]