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Chapter 4: Q28P (page 166)

A certain spring has stiffness140N/m. The spring is then cut into two equal lengths. What is the stiffness of one of these half-length springs?

Short Answer

Expert verified

The value of stiffness is280N/m.

Step by step solution

01

Identification of given data

The given data can be listed below as:

The value of the spring stiffness isKi=140N/m

02

Significance of the spring stiffness

The stiffness is referred to as the property of a particular object that resists deformation under the action of an external force.

03

Calculation for the stiffness

The equation of the final stiffness of the spring is expressed as:

Kf=2Ki

Here,Kfis the final stiffness and Kiis the initial stiffness.

Substitute the values in the above equation.

Kf=2Ki=2脳140N/m=280N/m

Thus, the value of stiffness is280N/m

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