Paragraph As seen in the figure, a long tall cylindrical body of density ρ= 3 gm/cc and radius r = 5 cm and length h = 20 cm moves along the axis of a vertical tall cylindrical vessel of radius R = 10

Question

Paragraph As seen in the figure, a long tall cylindrical body of density ρ= 3 gm/cc and radius r = 5 cm and length h = 20 cm moves along the axis of a vertical tall cylindrical vessel of radius R = 10 cm filled with liquid of density ρ 0 . Assume that there are no energy losses anywhere and ρ 0 = 1 gm/cc. The vessel is closed from top & bottom. What is the pressure difference (in Pa) between the upper and lower bases?

TestHub · Accepted Answer

m g − Δ p ( π r 2 ) = ma m = ρ π r 2 h Δ p = ρ h ( g − a ) a = 6 m / s 2 g = 10 m / s 2 ρ = 3 g / cc = 3000 k g / m 3 h = 0.2 m Now, we can calculate Δ p : Δ p = 3000 × 0.2 × ( 10 − 6 ) Δ p = 2400 P a

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