To a cyclist riding due west with a speed of 4 m/s a wind appears to

blow from south west. The wind appears to blow from south to a man running at 2 m/s in the same direction. What is the actual velocity of the wind?

The actual velocity of the wind blowing from south to west is, V = 3.08 m/s

Explanation:

Given data,

The velocity of the cyclist towards west, v = 4 m/s

The wind appears to blow from the south, U = 2 m/s

Let Ф be the angle formed by the direction of the wind with the west axis,

Therefore, the actual velocity of the wind is,

V = (v - U) secФ

= 2 sec Ф

Le the value of Ф = 30°, (The student may add the necessary value of Ф)

V = 2 (1.54)

V = 3.08 m/s

Hence, the actual velocity of the wind blowing from south to west is, V = 3.08 m/s