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5. A crane is used to lower weights into the sea (density=1025kg/m 3 ) for an un

ID: 1761516 • Letter: 5

Question

5. A crane is used to lower weights into the sea (density=1025kg/m3) for an underwater construction project. Determinethe tension in the rope of the crane due to a rectangular 0.4m by0.4m by 3cm concrete block (density = 2300 kg/m3) whenit is a) suspended in the air b) completely immersed in water 5. A crane is used to lower weights into the sea (density=1025kg/m3) for an underwater construction project. Determinethe tension in the rope of the crane due to a rectangular 0.4m by0.4m by 3cm concrete block (density = 2300 kg/m3) whenit is a) suspended in the air b) completely immersed in water

Explanation / Answer

5. A crane is used to lower weights into the sea (density=1025kg/m3) for an underwater construction project. Determinethe tension in the rope of the crane due to a rectangular 0.4m by0.4m by 3cm concrete block (density = 2300 kg/m3) whenit is a) suspended in the air

weight of the block in air=0.4*0.4*0.03*2300*9.8=108.192N
hence tension in air=108.192N
b) completely immersed in water

weight in water=

2300/1025=weight in air/loss of weight in water
loss in weight in water=48.216N
weight in water=108.192-48.216=59.976N
so tension in water=59.976N
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