Answer :
The force required to punch a hole 1 cm in diameter in a steel sheet is 0.176 x 10¹³ N.
What is force?
The force is defined as the shear stress or pressure applied per unit area.
F = P/A
Given is a steel sheet whose thickness t = 5mm = 5x 10⁻³ m, shearing strength P = 2.76 × 10⁸ N/m², diameter of hole d = 1cm = 1x 10⁻² m
The area to be punched A = πd xt
A = π x 1x 10⁻² x5x 10⁻³
A = 15.7 x 10⁻⁵ m²
The force required to punch a hole is
F = 2.76 × 10⁸ / 15.7 x 10⁻⁵
F = 0.176 x 10¹³ N.
Thus, the punching force is 0.176 x 10¹³ N.
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