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0 votes
5.0k views
in Physics by (125 points)
Que Rain is falling vertically with a speed of 35 m / sec. A woman rides a bicycle with a speed of 12 m / sec in east to west direction. What is the direction in Which she should hold her umbrella and also find the velocity of rain with respect to her.

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1 Answer

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by (24.8k points)

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.

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