4.12 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?
If V is the relative velocity, the woman must hold her umbrella in the direction of V.
V = Vr + (-Vc) = 30 + (-10) = 20 m/s
Tan = = , = 18
<p><strong>4.12 </strong>Let Vc = Velocity of the cyclist</p><p>Vr = Velocity of the rain</p><p>If V is the relative velocity, the woman must hold her umbrella in the direction of V.</p><p>V = Vr + (-Vc) = 30 + (-10) = 20 m/s</p><p>Tan <span title="Click to copy mathml"><math><mi>θ</mi></math></span> = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mi>V</mi><mi>c</mi></mrow></mrow><mrow><mrow><mi>V</mi><mi>r</mi></mrow></mrow></mfrac></math></span> = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mn>30</mn></mrow></mrow></mfrac></math></span> , <span title="Click to copy mathml"><math><mi>θ</mi></math></span> = 18 <span title="Click to copy mathml"><math><mo>°</mo></math></span></p>
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