Spring Constant Of A Trampoline
He weighs 70 4 kg and has a vertical of 0 4699 m 18 1 2 inches.
Spring constant of a trampoline. Sure a trampoline as all tightly stretched elastic membranes has a spring constant. In order to figure out how to calculate the spring constant we must remember what hooke s law says. It also showcases hooke s laws and the spring constant.
Like most spring systems if you increase the tension of the membrane the frequency will increase. All right so earlier tonight my friend and i did a little testing. A tympanist in a symphonic orchestra will tune his drum by increasing or decreasing the tension.
A trampoline appears as nothing more than simple fun but it is actually a complex array of the most basic laws of physics. We can use f ma to describe the motion of the person. When he depressed the trampoline he also moved further downward.
Answer to estimate the effective spring constant of a trampoline. U s 1 2 k x 2 u s 5 4681 364 n m 0127 m 2 u s 3775 joules. So the total change in height is h x where h 3 0 meters and x is the distance the trampoline is depressed not just 3 meters.
Based on hard wearing and heavy duty suspension systems the vuly leaf spring trampoline is one of the safest trampolines that you and the kids will bounce on. The person and trampoline will act as a simple harmonic oscillator. The spring in the shock absorber will at a minimum have to give you 2 450 newtons of force at the maximum compression of 0 5 meters.
It boasts a certified weight capacity of 150 kg. It also showcases hooke s laws and the spring constant. K frac f delta x frac 350 0 22.
Go and jump or watch and give your data. One way to determine the spring constant is to place a known. What does this mean the spring constant should be.
And the spring is displaced a half inch 0 0127 m when he was standing in the center of the trampoline. The spring constant of the trampoline will depend on the person s mass. Therefore the spring constant is given by.
B if the trampoline behaves like a spring of spring constant 5 2 104 n m how far does he depress it. The amount that the trampoline is depressed will depend on the person s mass.