Mechanics> Rain is falling vertically with a speed o...

Rain is falling vertically with a speed of 20ms –1 . A person is
running in the rain with a velocity of 5 ms –1 and a wind is also
blowing with a speed of 15ms-1 (both from the west). What is
the angle with the vertical at which the person should hold his
umbrella so that he may not get drenched.

Seema Sinha , 4 Years ago

Grade 11

1 Answers

Harsh Tiwari

The velocity of the rain that is vertically falling downward is v(rain)

=20m/s.

The velocity of the wind that is blowing from west to east is v(wind)

=15m/s

as the person is walking 5m/s, hence, the final velocity from west to east is =10m/s

Now, the resultant velocity

v makes an angle θ with the vertical.

tanθ= v(rain)/v(wind)

=10/20

tan $\Theta$ =1/2

Last Activity: 4 Years ago

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Mechanics> Rain is falling vertically with a speed o...

Rain is falling vertically with a speed of 20ms –1 . A person isrunning in the rain with a velocity of 5 ms –1 and a wind is alsoblowing with a speed of 15ms-1 (both from the west). What isthe angle with the vertical at which the person should hold hisumbrella so that he may not get drenched.

Seema Sinha , 4 Years ago

Harsh Tiwari

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