define force constant
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Spring Constant or force constant is defined as the applied force if the displacement in the spring is unity. It is denoted by k. The dimensional formula can be worked out by using the spring force formula i.e. F = kx . This gives k = F/x.
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The force constant of a spring is defined as the external force required to produce a unit elongation.
- According to Hooke's Law,
F x
Where, F = Force applied; x = elongation in the spring
or, F = kx
The constant k in the above equation is called the force constant or spring constant of the spring.
- The force constant of the spring measures the stiffness of the spring. The higher the value of k, the stiffer the spring.
- The SI unit of force constant is N . .
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