Q14DQ - University Physics with Modern Physics

Question

In a rainstorm with a strong wind, what determines the best position in which to hold an umbrella? 

Step-by-Step Solution

Answer

The umbrella must be hold at the same angle as before, but facing east toward the vertical line.

Step 1: Concept/Significance of relative velocity

Relative velocity refers to how quickly and in which direction an object is travelling in relation to another item or a point in space.

Step 2: Determination of the best position in which to hold an umbrella

In a rainstorm with a high wind, the ideal way to hold a sturdy umbrella is against the direction of the vector sum consequent of the raindrops' velocity plus the wind's velocity. Let's pretend the wind is blowing west and the raindrops are falling vertically downward. The sum of these two vectors is a vector pointing westward from the vertical line, as shown in the diagram below.

                                                     

Thus, the umbrella must be hold at the same angle as the resulting vector, but in the opposite direction. The vector sum has a westward angle from the vertical line so hold the umbrella at the same angle as before, but facing east toward the vertical line.