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  • Rain is falling vertically with a speed of 30 m s^-1 A woman rides a bicycle with a speed of 10 m s ^-1. in the north to south direction What is the direction in which she should hold her umbrella?

Q. 4.12 Rain is falling vertically with a speed of  30\; ms^{-1}  A woman rides a bicycle with a speed of  10\; ms^{-1}. in the north to south direction. What is the direction in which she should hold her umbrella?

Answers (1)

best_answer

The given situation is shown in the figure:-  

                               Chapter - 4, Q. 4.12, 20117

Since both rain and woman are having some velocity so we need to find the relative velocity of rain with respect to woman.

                             V\ =\ V_{rain}\ +\ (-V_{woman})

                                     =\ 30\ +\ (-10)

                                     =\ 20\ m/s

And the angle is given by   : 

                            \tan\Theta \ =\ \frac{V_{woman}}{V_{rain}}

                            \tan\Theta \ =\ \frac{10}{30}

                                    \Theta \ \approx \ 18^{\circ}

Hence woman needs to hold an umbrella at 18 degrees from vertical towards the south.

Posted by

Devendra Khairwa

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