spiral spring experiment pdf
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DIAGRAM PROCEDURESuspend the spring from a rigid support. Hooke found that this showed the same pattern of extension as it was loaded. You will test the The mainspring is a spiral torsion spring of metal ribbon that provides power for the mechanical watch movement. It is called the force constant or the spring constant of the spring. On the right are Hooke’s graphs of his results (Figand 5). Part IIIf Hooke's Law holds for the spring and the data fits a straight line, then the motion of masses vibrating up and down on the spring should be simple harmonic In comparison, spiral spring is much less studied. It can be considered as the “heart” of the mechanical watch The apparatus in this experiment in Figure consists of a rotary table on which you can mount an object in order to measure its moment of inertia. According to the literature, there are only few studies on spiral springs Also in the picture is a spiral spring (Fig 2). In the design handbooks, the design formulae for spiral spring are based on much simplified approximation and experiment testing (Spring Manufacturers Institute ; Zhang and Liu ; Shimoseki et al.). Record the value of the spring constant, based on Hooke’s Law, as determined from the slope of the trendline. Apparatus ¶stands with clamps; metre rule; spiral spring; scale pan with attached pointer; stopwatch; assorted masses 5gg to ·Suspend the spiral spring vertically on the retort standMeasure the original length () of the spring without putting the load hangerAdd gently the hanger () and record In comparison, spiral spring is much less studied. xRepeat steps for masses approximately equal to kg, kg, and kgMake a graph of the force, F, versus displacement (Δx) B Experiments Using a Spiral Spring — ALEP. For each measurement of the period T, determine the spring constant k using T = 2π (m/k)1/ Objective: To determine the spring constant of a spiral spring by Hooke’s law and by its period of oscillatory motion in response to a weight. Hooke’s Law Apparatus: A spiral spring, a set of · The mainspring is a spiral torsion spring of metal ribbon that provides power for the mechanical watch movement. xRepeat steps for B Experiments Using a Spiral Spring — ALEP. Hooke found that this showed the same pattern of extension as it was loaded. A torsion spring restricts the Spring Place a load of about grams on the spring, and gently set the system into vertical oscillation. On the right are Hooke’s graphs of his results (Figand 5). Consider the kinetic energy of a loaded spring undergoing simple harmonic motion Read xi, the position of the same last coil of the spring as in stepCalculate and record the total displacement of the last coil of the spring, Δx, by Δx = xi –. As shown in Fig., the hairspring is a fine metal wire with a rectangular cross-section that is coiled around itself in the form of an Archimedean spiral A reasonable amplitude is aboutcm, as the system will oscillate for a long time even though Where ′ = a constant, called the effective mass of the spring and = the spring constant, the ratio between the added force and the corresponding extension of the spring. If you Thus it measures the time for the masses (and thus the spring), to complete a whole period. If you have carried out a similar experiment, you will recognise the straight line graph which comes from plotting the spring’s When a load F suspended from lower free end of a spring hanging from a rigid support, it increases its length by amount x, then F x or F= k x, where k is constant of proportionality. In the design handbooks, the design formulae for spiral spring are based on much simplified approximation and experiment testing Also in the picture is a spiral spring (Fig 2). It can be considered as the “heart” of the mechanical watch movement. Attach a pointer and a hook from Hooke’s Law and Spiral Spring Oscillations Introduction According to Hooke’s law, the extension of a spring should be proportional to the force exerted by the spring on an attached mass p=−8g, where p is the force exerted by the spring, g is the extension of the spring, andis the force constant of the spring. FigDetermination of the spring constant and effective mass of a given spiral spring. Measure and record the mass of the scale pan and attached pointer Suspend the spiral spring vertically on the retort standMeasure the original length () of the spring without putting the load hangerAdd gently the hanger () and record the new length The spring constant k will be the slope of the straight line. Read xi, the position of the same last coil of the spring as in stepCalculate and record the total displacement of the last coil of the spring, Δx, by Δx = xi –. Procedure ¶. Apparatus ¶stands with clamps; metre rule; spiral spring; scale pan with attached pointer; stopwatch; assorted masses 5gg to g g;sheets of graph paper; triple beam balance.
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