Question

Rain is falling at an angle of 30° from the
vertical due to the wind with a speed of
40 m/s. A car is travelling horizontally in the
direction opposite to the wind, at a speed of
40 m/s. At what angle from the vertical will it
experience the rain falling from?​

Answer 1

Answer:

Given,

speed of rain is 35m/s

Speed of wind is 12m/s

The resultant velocity of raindrops will be the vector sum of the raindrop speed (vertical) and the horizontal wind speed.

The magnitude of the resultant velocity of the raindrops is:

(12

2

+35

2

)

=37m/sec

the direction of the resultant velocity vector with the vertical

=tan

−1

(

35

12

)=18.92

0

.

The umbrella should be pointed in the direction opposite to the resultant velocity of the raindrops. So it should be in the direction 18.92

0

. the inclination to the vertical opposite to the direction of wind., towards East.