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Rain is falling vertically with a speed of 1 ms^(-1) . A woman rides a bicycle with a speed of 1.732 ms^(-1)in east to west direction. What is the direction in which she should hold her umbrella ? |
Answer» Solution : In Fig. vr represents the velocity of rain and v , the velocity of the bicycle, the woman is riding. Both these velocities are with respect to the ground. Since the woman is riding a bicycle, the velocity of rain as experienced by:  her is the velocity of rain relative to the velocity of the bicycle she is riding. That is `V_(rb) =V_(t)-V_(b)` This relative velocity vector as SHOWN in Fig. makes an angle `THETA`with the VERTICAL. It is given by: `tan theta =v_(b)/v_(r) =SQRT(3)/1 = sqrt(3) = 60^(@)` Therefore, the woman should hold her umbrella at an angle of about 60° with the vertical towards the west. |
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