A raft is made of 13 logs lashed together. Each is 36 cm in diameter and has a l

Question

A raft is made of 13 logs lashed together. Each is 36 cm in diameter and has a length of 6.2 m. How many people can the raft hold before they start getting their feet wet, assuming the average person has a mass of 70 kg? Do not neglect the weight of the logs. Assume the density of wood is 600kg/m3

Explanation / Answer

buoyant force = weight of people + weight of raft => p*g*V = mg + pw*g*V => 1000*9.8*[13*(pi*0.36^2/4)*6.2] = x*70*9.8 + 600*9.8*[13*(pi*0.36^2/4)*6.2] => 80359.232 = 686 *x + 48215.539 => x = 46.856 so, no. of people the raft hold before they start getting their feet wet = 46

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