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An aluminium alloy (density 2600 kg/m3) casting is to be produced. A cylindrical hole of 100 mm diameter and 100 mm length is made in the casting using sand core (density 1600 kg/m3). The net buoyancy force (in Newton) acting on the core is _______.
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- 7.7 N.
- 8.7 N.
- 6.7 N.
- 9.7 N.
Correct Option: A
d = 1600 kg/m3
ρ = 2600 kg/m3
Net buouancy force = weight of liquid displaced – weight of solid body
= v × ρ × g – v × d × g = vg (ρ – d)
| = | = d² L × g (ρ - d) | 4 |
| = | × 0.1² × 0.1 × 9.81 (2600 - 1600) 7.7 N. | 4 |
