A steel cable with a radius of 1.5 cm supports a chair lift at a ski a

1.	A steel cable with a radius of 1.5 cm supports a chair lift at a ski area. If the maximum stress is not exceed 108 Nm-2, What is the maximum load the cable can support?
Answer» r = radius of cable = 1.5 cm. = π(0.015)² m² max stress = 10⁸ Nm^-2 Let F be the maximum force. stress = \(\frac{F}{A}\) ∴ F = max stress × area. = 10⁸× π × (0.015)² = 7.065 × 10⁴N = 70,650 N ∴ The maximum load is 70,650 N.

A steel cable with a radius of 1.5 cm supports a chair lift at a ski area. If the maximum stress is not exceed 108 Nm-2, What is the maximum load the cable can support?

Answer»

r = radius of cable = 1.5 cm.

= π(0.015)² m²

max stress = 10⁸ Nm^-2

Let F be the maximum force.

stress = \(\frac{F}{A}\)

∴ F = max stress × area.

= 10⁸× π × (0.015)²

= 7.065 × 10⁴N

= 70,650 N

∴ The maximum load is 70,650 N.