Coil springs are widely used in industry. Those used in scientific instruments m

Question

Coil springs are widely used in industry. Those used in scientific instruments must be manufactured to exhibit consistent performance. One important property of a spring is its force constant. As the quality control manager of a coil spring manufacturer, you are examining a coil spring made by your company that compresses 3.60 cm when a mass of 155 kg is placed on it. Calculate the force constant k.

Your customer specifies that the springs used for its mass scales must fit within 5% of k = 43880 N/m. Shipping products that have been known to fail specification requirements can open your company to civil or criminal charges, or both. Knowing this, would you accept or reject this spring?

In the list below, choose the specifications that coil springs often must meet.

_Temperature dependence of the force constant.
_Range of expansion in which the force constant remains valid.
_Range of compression in which the force constant remains valid.
_Size of the spring (height and width).

Explanation / Answer

k=force/ displacement =(155*9.82)/(0.036)=42280.56 Nm

Since maximum error allowed is 5 % i.e. +- 0.05 * 43880=+-2194 Nm

that is my spring constant should be in range (43880-2194) <k<(43880+4194)

41686<k<46074

Since my spring constant is within allowed range hence i shall accept the spring

The coil spring must meet

Range of expansion in which the force constant remains valid.
_Range of compression in which the force constant remains valid.

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