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atomicjellyfish
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A hammer throwerswings a 7.25kg hammer in a horizontal circle at one revolution per second Ifthe hammer wire is 1.20 m long. 1.5 mm in diameter and made of steel, calculatethe extension produced in it.(The mass of the wire itself may be neglected)
I'm trying to use the young's modulus equation, but am very confused ;-;
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Kyx
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Force would be the mv^2/r (circular motion)

Then you can use the young's modulus equation, maybe?
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uberteknik
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(Original post by atomicjellyfish)
A hammer throwerswings a 7.25kg hammer in a horizontal circle at one revolution per second Ifthe hammer wire is 1.20 m long. 1.5 mm in diameter and made of steel, calculatethe extension produced in it.(The mass of the wire itself may be neglected)
I'm trying to use the young's modulus equation, but am very confused ;-;
All of the variables needed are given in the question. But you must also calculate the centripetal force exerted on the cable:

F = ma = \frac{mv^2}{r}

Now using the definition of Youngs modulus:

E = \frac{\sigma}{\epsilon} = \frac{(\frac{F}{A_0})}{(\frac{ \Delta L}{L_0})}

Rearrange to make \Delta L the subject.

You will need to look up the modulus for steel.
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Kyx
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(Original post by uberteknik)
All of the variables needed are given in the question. But you must also calculate the centripetal force exerted on the cable:

F = ma = \frac{mv^2}{r}

Now using the definition of Youngs modulus:

E = \frac{\sigma}{\epsilon} = \frac{(\frac{F}{A_0})}{(\frac{ \Delta L}{L_0})}

Rearrange to make \Delta L the subject.

You will need to look up the modulus for steel.
Basically what I said: F = mv^2/r
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