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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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    Force would be the mv^2/r (circular motion)

    Then you can use the young's modulus equation, maybe?
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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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    (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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