What is the spring constant of longer piece???
(EXPLAIN HOW)
2007-04-26 05:59:35 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Physics
when every thing remains same, in a coil spring, the spring constant is inversely proportional to number of coils. in the case where a spring is cut in two equal sizes, each cut piece will have equal constant, but double the value of uncut piece. in the case referred, longer piece will have half the constant value of the other.. its value is one and half time of the original uncut spring, that is 150N/m
2007-04-26 06:10:48 · answer #1 · answered by K R 2 · 1⤊ 3⤋
I don't think cutting it changes anything. A piece of a big spring has the same k as the entire spring.
Imagine a big spring is 10 little ones put together. You push a distance x and it pushes back with a force kx. Each little spring gets compressed by x/10 and pushes back with a force of kx/10. So the ratio of compression to push isn't any different for the pieces as it is for the whole.
Alexander: you are sooooo incredibly mean. At least I only mess with the religious wackos and people asking like 20 HW questions. Softness coefficient if pretty good though.
2007-04-26 06:04:23 · answer #2 · answered by Anonymous · 0⤊ 1⤋
Babe, that could be a similar by way of fact the final one: L of shorter piece = x m L of longer piece = (10 + x) m 10 + x + x = 22 10 + 2x = 22 2x = 22 - 10 x = 12/2 = 6 m for this reason, length of the longer piece = 10 + x = 10 + 6 = sixteen meters.
2016-11-27 23:17:03 · answer #3 · answered by Anonymous · 0⤊ 0⤋
spring constant, also known as Hook's law:
In physics, Hooke's law of elasticity is an approximation that states that the amount by which a material body is deformed (the strain) is linearly related to the force causing the deformation (the stress). Materials for which Hooke's law is a useful approximation are known as linear-elastic or "Hookean" materials.
Hooke's law is named after the 17th century physicist Robert Hooke.
The spring constant is a measure of the "stiffness" or "strength" of a spring. It does not depend on length. Both parts of the spring will have a spring constant of 100N/m
2007-04-26 06:05:29 · answer #4 · answered by DanE 7 · 0⤊ 1⤋
Cutting a spring will not change the spring constant. The spring constant essentially tells you how far the spring will stretch under a given force. This property is not changed by cutting the spring.
2007-04-26 06:06:10 · answer #5 · answered by msi_cord 7 · 2⤊ 1⤋
K.R. is right.
stiffness k = 1N/cm
softness q = 1/k = 1cm/N
If you cut spring in two pieces 1/3 and 2/3 their
softnesses will be q1 = 1/3 cm/N and q2 = 2/3 cm/N,
and their stiffnesses will be
3 N/cm = 300 N /m, and
1.5 N/cm = 150 N/m
Same thing hapenns to resistance and conductane
of a wire when you cut it into two pieces.
2007-04-26 07:45:32 · answer #6 · answered by Alexander 6 · 0⤊ 2⤋