Question

6. A cable is replaced by another one of the same length and material but twice the diameter. (a) How will this affect the elongation under a given load? (b) How does this affect the maximum load it can support without exceeding the elastic limit? 3 in lowered to a denth in the ocean water where the pressure is​

Answer 1

Answer:

If the diameter is doubled, the wire can support 4 times the original load.

Explanation:

From the above question,

A cable is replaced by another one of the same length and material but twice the diameter.

Here we need to find how will this affect the elongation under a given load.

Clearly, if the diameter is doubled, the elongation will become one-fourth. Clearly, if the diameter is doubled, the wire can support 4 times the original load.

The maximum load it can support without exceeding the elastic limit

If the diameter is doubled, the elongation will become one-fourth.

Hence Mg ∝$D^{2}$

Clearly, if the diameter is doubled, the wire can support 4 times the original load.

Thus it affect the maximum load it can support without exceeding the elastic limit.

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