A rectangular aluminium block with a cavity at its center is completely submerged in water as shown in Figure 2.3. The dimensions of the block are 10 cm x 8 cm x 6 cm. The densities of aluminum and water are 2700 kg m-3 and 1000 kg m-3 respectively. The mass of air in the cavity can be neglected. The block is able to stay at rest uprightly in water as shown in Figure 2.3. Draw and label the force(s) acting on the aluminium block in Figure 2.3 Deduce the weight of the aluminium block using the pressure difference found in (b)(i) which is given by ρg(h2 – h1). . Hence, find the volume of the cavity.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A rectangular aluminium block with a cavity at its center is completely submerged in water as shown in Figure 2.3. The dimensions of the block are 10 cm x 8 cm x 6 cm. The densities of aluminum and water are 2700 kg m-3 and 1000 kg m-3 respectively. The mass of air in the cavity can be neglected.

The block is able to stay at rest uprightly in water as shown in Figure 2.3.

  1. Draw and label the force(s) acting on the aluminium block in Figure 2.3
  2. Deduce the weight of the aluminium block using the pressure difference found in (b)(i) which is given by

    ρg(h2 – h1).

    . Hence, find the volume of the cavity.
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