Rain is falling vertically with a speed of 35 m/s

Question

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?

Arun · Accepted Answer

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 rainthe magnitude of relative velocity the rain drops wrt woman = √(12² + 35²) = 37 m/sdirection 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. RegardsArun (askIITians forum expert)

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

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?

Aabha Misra , 6 Years ago

Arun

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

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?

Aabha Misra , 6 Years ago

Arun

LIVE ONLINE CLASSES

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