a.) If a bicyclists consumes 3kg of food per day, and proteins & carbs contain 6

Question

a.) If a bicyclists consumes 3kg of food per day, and proteins & carbs contain 6kcal/g of energy, how much energy can be released by the food consumed?

b.) You have a drag coefficient (B_d) of 2 kg/m and a constant speed of v=40km/h for a 4hr race. Taking into account the friction force due to wind drag equation F=B_d*v^2, what is the resulting work against friction?

c.) Building from b. If a rider has mass m=65kg & can utilize the balance with energy from part a, to climb a mountain, what would the elevation, h, be?

d.) Excess energy is released from sweating (ie-perspiration), so how much would the bicyclist need to drink in order to achieve this heat loss? (q_v=2.3kJ/g, rho=1kg/l

Explanation / Answer

a)Energy released=3*1000*6*1000*4.186=7.535*10^7J

b) Rate of enery loss due to friction=F*v=2*(40*5/18)^3=2743.5W

c)Energy left=7.535*10^7J-2743.5*4*3600=3.584*10^7J

Height=E/mg=3.584*10^7/(65*9.81)=56206m

d)Mass perspired=3.95*10^7/(2.3*1000)g=17173g=17.17kg

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