Question

Anvils made of single crystals of diamond, with the shape as shown in Fig. 9.14, 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 50,000 N. What is the pressure at the tip of the anvil?

Answer 1

Here,
Compressional force (F) = 50000 N
diametre (D) = 0.5mm = 5 × 10^-4 m
Radius = 2.5 × 10^-4 m

now,
Pressure at the tip of the anvil (P) = Force/Area
= F/πr²
= 50000/{3.14 ×(2.5×10^-4)²}
= 2.5 × 10¹¹ Pa