A disc shaped piece of wood is floating down the river (transport of wood by river flow is common). The piece has a radius of 1 m, a thickness of 0.1 m, and weighs 125 kg when it is dry. Water diffuses through the wood, and let us say that a steady state has been achieved. Assuming that no water is present on the exposed (upper) surface of the wood, find the effective density of that wood piece. Neglect humidity and take the diffusivity of water in wood to be 5 x 10-6 cm² s-¹.

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A disc shaped piece of wood is floating down the river (transport of wood
by river flow is common). The piece has a radius of 1 m, a thickness of 0.1 m,
and weighs 125 kg when it is dry. Water diffuses through the wood, and let
us say that a steady state has been achieved. Assuming that no water is
present on the exposed (upper) surface of the wood, find the effective
density of that wood piece. Neglect humidity and take the diffusivity of
water in wood to be 5 x 10-6 cm² s-¹.
Transcribed Image Text:A disc shaped piece of wood is floating down the river (transport of wood by river flow is common). The piece has a radius of 1 m, a thickness of 0.1 m, and weighs 125 kg when it is dry. Water diffuses through the wood, and let us say that a steady state has been achieved. Assuming that no water is present on the exposed (upper) surface of the wood, find the effective density of that wood piece. Neglect humidity and take the diffusivity of water in wood to be 5 x 10-6 cm² s-¹.
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