Assuming-it-rained-at-a-constant-rate-and-the-rain-fell-at-angle-to-the-ground-see-diagram-determine-if-walking-or-running-causes-you-to-get-more-less-wet-or-of-it-makes-no-difference-for-1-

Question Number 11902 by FilupS last updated on 04/Apr/17

Assuming it rained at a constant rate,

and the rain fell at angle θ to the ground

(see diagram), determine if walking or

running causes you to get more / less wet,

or of it makes no difference for :

1 . θ = 90 ° (downwards)

2 . θ < 90 ° (the rain is moving on the

same direction as you)

3 . θ > 90 ° (the rain is moving / blowing

into you)

Commented by FilupS last updated on 04/Apr/17

Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 04/Apr/17

w e c a n s u p p o s e t h a t t h e h u m a n b u d y

l i k e a r e c t a n g l e t h a t i t s d i m e n t i o n s a r e

a l m o s t a b o u t : B = 25, W = 65, H = 180, i n

c e n t i m e t e r s .

1 . θ < 90 o r θ > 90 a r e t h e s a m e . i n t h i s

You can't use 'macro parameter character #' in math mode

a r e a a b o v e s h o l d e r s = (65 - 25) \times 25 = 1000

a d d e d a r e a f o r m a n = 2 π R_{1} (r_{1} + 2 h_{1}) + π R_{2} (r_{2} + 2 h_{2}) =

= 2 \times 3.14 \times 12 (5 + 2 \times 4) + 1 \times 3.14 \times 4 (2 + 2 \times 1.5) = 981 + 63 = 1043

a d d e d a r e a f o r l a d y = 2 π \times 16 (8 + 3 \times 5) + 2 \times π \times 10 (5 + 3 \times 4) = 2311 + 1068 = 3379

t o t a l f o r m a n, f a c e t o r a i n =

11700 - 1000 + 63 = 10763 {c m}^{2}

t o t a l f o r m a n, b a c k t o r a i n =

11700 - 1000 + 981 = 11681 {c m}^{2}

t o t a l f o r l a d y, f a c e t o r a i n =

11700 - 1000 + 1068 = 11768 {c m}^{2}

t o t a l f o r l a d y, b a c k t o r a i n =

11700 - 1000 + 2311 = 13011 {c m}^{2}

2 . θ = 90, i n t h i s c a s e o n l y u p s i d e o f

r e c t a n g l e o p p o s i t e t o r a i n . s o :

You can't use 'macro parameter character #' in math mode

You can't use 'macro parameter character #' in math mode

You can't use 'macro parameter character #' in math mode

N o w w e k n o w t h a t t h e m a x o f w e t a r e a

i n c a s e o f : θ > 90^{°} a n d f o r l a d y t h a t r u n

b a c k t o r a i n . I t h i n k r u n n i n g o r w a l k i n g a r e t h e s a m e . e x c u s e m e, I t h i n k w e s h o u l d c a l c u l a t i n g a r e a s

w i t h m u c h m o r e o f a c c u r a c y .