The strength of a cable is proportional to the square of its diameter. If a 2-cm cable will support 800kg, how much will a 3-cm cable support?

Question

Mathematics

Amelia Bass

19 December, 06:24

The strength of a cable is proportional to the square of its diameter. If a 2-cm cable will support 800kg, how much will a 3-cm cable support?

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Answers (1)

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Brandon French · Answer 1

Strength [is proportional to] d^2

strength1 / (d1) ^2 = strength2 / (d2) ^2

800kg / (2cm) ^2 = strength2 / (3cm) ^2

strength2 = 800 kg * (3 cm) ^2 / (2 cm) ^2

strength2 = 800 kg * 3^2/2^2

strength2 = 800 kg * 9/4

strength2 = 1800 kg