Question
Class 11PhysicsMechanical Properties of Solids

Anvils made of single crystals of diamond, with the shape as shown in figure are used to investigate behaviour of materials under very high pressures. Flat faces at the narrow end of the anvil have a diameter of 0.50 mm, and the wide ends are subjected to a compressional force of 50, 0000 N. What is the pressure at the tip of the anvil.

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Verified Answer

Radius = 0.25 mm = 0.25×10−3 m

Area = πr2 = 3.14×(0.25)2 ×10−6 = 1.96×10−7 m2

Pressure at the top of the anvil = Compressional force/Area

= 50,000 N/1.96×10−7 m2

= 2.5×1011 Nm2