Thanks! Yeah I just performed one measurement with each method.kuruman said:The spring constant is, as the name implies, a constant that is independent of your method of measuring it. You got different values probably because of some systematic error in your measurements. Only you know what you did and how you did it, so you are best qualified to figure out which value you tthink is more accurate. Did you perform one measurement with each method or are these numbers averages of many measurements with each method? For all I know, the values that you got are within the uncertainty of your measurements.
Which one do you trust most? Which one leaves ore room for error? Next time try to make more than one measuements. This will give you a better idea of how bunched together your measurements are.VitaminK said:Thanks! Yeah I just performed one measurement with each method.
kuruman said:Which one do you trust most? Which one leaves ore room for error? Next time try to make more than one measuements. This will give you a better idea of how bunched together your measurements are.
Don't you have to also take account of the oscillation period? For me, measuring time manually through a stopwatch, for example, is way untrustworthy than measuring a distance with a meter stick, because of our reflexes.VitaminK said:Well I'd say the oscillating-method is more trustworthy, since it only depends on one variable (mass) that can be measured more accurately than the elongation x in F=kx. But i don't know if this is true?
I am guessing that for the oscillating method you also had to measure the period. How accurately did you measure that? What did you use? Depending on what you used, either method could be accurate than the other. For example, a photogate is more accurate than the timer app on your smartphone for timing oscillations; a transit level is more accurate than a meter stickr for measuring distances. Only you can estimate the accuracy what you did because you were there and I was not.VitaminK said:Well I'd say the oscillating-method is more trustworthy, since it only depends on one variable (mass) that can be measured more accurately than the elongation x in F=kx. But i don't know if this is true?
kuruman said:I am guessing that for the oscillating method you also had to measure the period. How accurately did you measure that? What did you use? Depending on what you used, either method could be accurate than the other. For example, a photogate is more accurate than the timer app on your smartphone for timing oscillations; a transit level is more accurate than a meter stickr for measuring distances. Only you can estimate the accuracy what you did because you were there and I was not.
A crude way to do that would be to say something like, "I measured the length to be 10.3 cm, but it could be as little as 10.1 or as big as 10.5 because of parallax effects and because couldn't exactly gauge where the beginning and the end of the length was." Now that you have these brackets, recalculate the spring constant using the low and high value for x to find a high and low value for the spring constant. Then do the same type thing for the time measurement considering how you did it. See if there is a overlap of the values measured by the two methods.
Hooke's Law is a fundamental principle in physics that describes the relationship between the force applied to an elastic object and the resulting displacement of the object. It states that the force applied is directly proportional to the displacement produced, as long as the object remains within its elastic limit.
Hooke's Law is used to determine the spring constant, which is a measure of the stiffness of a spring. By applying different forces to a spring and measuring the resulting displacements, we can plot a graph of force vs. displacement and determine the slope of the line, which is equal to the spring constant.
The spring constant is a crucial factor in understanding the behavior of springs and other elastic objects. It determines how much force is required to produce a certain amount of displacement in the object. It also affects the frequency and period of oscillations in a spring-mass system.
The oscillation-method is a technique for determining the spring constant of a spring by measuring the period of oscillations in a spring-mass system. By measuring the period and knowing the mass of the object attached to the spring, we can use the equation T = 2π√(m/k) to calculate the spring constant.
Hooke's Law is closely related to simple harmonic motion, which is the back-and-forth motion of an object around an equilibrium point. In a spring-mass system, the force applied by the spring is directly proportional to the displacement, resulting in simple harmonic motion. This relationship can also be seen in other systems, such as pendulums and vibrating strings.