An ideal constant-force spring is a spring for which the force it exerts over its range of motion is a constant, that is, it does not obey Hooke's law...

deflections). The rate or spring constant of a spring is the change in the force it exerts, divided by the change in deflection of the spring. That is, it is the...

is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. The...

unknown force, the spring constant of the torsion fiber must first be known. This is difficult to measure directly because of the smallness of the force. Cavendish...

Here, ke is a constant, q1 and q2 are the quantities of each charge, and the scalar r is the distance between the charges. The force is along the straight...

amount of force can be determined by multiplying the spring constant, characteristic of the spring, by the amount of stretch, also known as Hooke's law...

A spring scale, spring balance or newton meter is a type of mechanical force gauge or weighing scale. It consists of a spring fixed at one end with a...

escapements, suspended weights, counter-weights, and (more recently) constant force springs. They are not electrically powered because an important connection...

provide extra force at the end of the running period, when the spring is almost out of energy, in order to keep the timepiece running at a constant rate to...

restoring force F proportional to the displacement x: F → = − k x → , {\displaystyle {\vec {F}}=-k{\vec {x}},} where k is a positive constant. If F is...

{x} ,} where F is the restoring elastic force exerted by the spring (in SI units: N), k is the spring constant (N·m−1), and x is the displacement from...

k} is the spring constant (or force constant), which is particular to the spring. The minus sign accounts for the tendency of the force to act in opposition...

wide variety of places. All retractable hose reels operate using a constant-force spring to provide torsion for the spool, and a ratcheting mechanism to...

letter G. In Newton's law, it is the proportionality constant connecting the gravitational force between two bodies with the product of their masses and...

to modify the spring constant (or spring rate) or the amount of deflection. Stacking in the same direction will add the spring constant in parallel, creating...

formulas for the spring that is equivalent to an ensemble (or system) of two springs, in series or in parallel, whose spring constants are k 1 {\displaystyle...

a constant force generator is the constant-force spring. This is analogous to a real voltage source, such as a battery, which remains near constant-voltage...

vibration. The animation on the right shows ideal motion, with the force exerted by the spring and the distance from the center of rotation increasing together...

will stop moving once the applied force becomes constant and will support a weight, like a normal spring. Some gas springs have fine holes in the plunger...

enough for the spring to push the weights back in, realigning the propeller to the shallower pitch. Small, modern engines with a constant speed unit (CSU)...

free space, the electric constant, or the distributed capacitance of the vacuum. It is an ideal (baseline) physical constant. Its CODATA value is: ε0 = 8...

force along a displacement. In its simplest form, for a constant force aligned with the direction of motion, the work equals the product of the force...

pipe is made to “sit” on top of the flange of the spring support. 2.Constant spring hanger or constant effort support: When confronted with large vertical...

velocity generator. An example of a constant force generator is the constant-force spring. An example of a practical constant velocity generator is a lightly...

exponential decay constant and V is a function of time t V = V ( t ) . {\displaystyle V=V(t).} The right-hand side is the forcing function f(t) describing...

with Euler's constant, a different constant typically denoted γ {\displaystyle \gamma } . Alternatively, e can be called Napier's constant after John Napier...

the system is in mechanical equilibrium. When the compressive force is removed the spring returns to its original state. The minimal number of static equilibria...

many papers on Mechanics and Mathematics. His latest paper, on Constant Force Spring System with a Spiral was published in the ASME Journal of Mechanisms...

oscillators, such as an idealized spring with no energy loss wherein the system exhibits constant-amplitude oscillations with a constant frequency. The phenomenon...

αs, the coupling constant for the strong force (≈ 1) One of the dimensionless fundamental constants is the fine-structure constant: α = e 2 4 π ε 0  ...