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Rain is falling vertically with a speed of 35 m/s. A woman rides a bicycle with a speed of 12 m/s in east to west direction. In what direction should she hold her umbrella?

Rain is falling vertically with a speed of 35 m/s. A woman rides a bicycle with a speed of 12 m/s in east to west direction. In what direction should she hold her umbrella?

Grade:12th pass

1 Answers

Arun
25758 Points
4 years ago
Dear Aabha
 
She should hold the umbrella a little inclined towards the west from the vertical.
The drops which are falling a little ahead of the current position of the woman, will fall on her, because she moves in that direction.
relative velocity of the rain drops wrt cyclist 
   = velocity of woman - velocity of rain
the magnitude of relative velocity the rain drops  wrt  woman
     = √(12² + 35²) = 37 m/s
direction of relative velocity of the rain drops =
       = tan⁻¹ (12/35)  =  18.92  deg. from the vertical.
So the cyclist should hold the umbrella at 18.92 deg to the vertical in the forward direction.
 
 
Regards
Arun (askIITians forum expert)

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