Grade 12Thermal Physics

A steel wire of diameter 2 mm has a breaking strength of 4 x 10^5 N. What is the breaking force of similar steel wire of diameter 1.5 mm?

Pritha Pramanick

11 Years agoGrade 12

2 Answers

Aziz Alam

11 Years ago

F_Bis directly proportional to the area (A)

F_B’/F_B=D’²/D²
$\Rightarrow F_B'=F_B*D'^2/D^2=2.25*10^{5} N$

Kushagra Madhukar

5 Years ago

Dear student,

SInce wires are of same material, the ultimate stress will be same for both

Now, force = stress x area

hence, force is directly proportional to area which in turn proportional to the square of diameter of wire.

Hence, F₂/F₁ = D₂²/D₁²

Hence, F₂ = 4 x 10⁵ x (1.5)²/(2)²

Hence, F₂ = 2.25 x 10⁵ N

Hope it helps.

Thanks and regards,

Kushagra

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A steel wire of diameter 2 mm has a breaking strength of 4 x 10^5 N. What is the breaking force of similar steel wire of diameter 1.5 mm?

Pritha Pramanick

2 Answers

Aziz Alam

Kushagra Madhukar

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