Explain how a Helmholtz resonator may be used as a sound damper and discuss its limitations for this application.
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- Power line hum comes from electrical ac power of 50 Hz linked to some electrical components like transformers. Calculate the corresponding electrical wavelength and the acoustical wavelength.Wind turbines rotate with a frequency of about 1/3 Hz with three blades. Calculate the minimum size of an acoustic resonator which is half of the wavelength.A particle vibrated at a frequency of 100 hz and a amplitude of 0.03 cm Calculate speed and particle acceleration at Max junction. Specify the position of particles as a function of time!Consider the following figure: a forced oscillator system is shown in the figure where C = 8.0x10^-6 F, L = 2.0×10^-2 H, R = %3D %3D 75 ohm and V(t) = Vo cos wt (volt) a. Write down the equation for forced oscillation. b. Calculate the impedance and resonant frequency. c. Show the maximum potential at which the inductance appears at the frequency w == wo(1 – 1/2Q3)/2 . IR V,= Vo cosot Va
- 1(a) A damped simple harmonic oscillator has mass 2.0 kg, spring constant 50 N/m, and mechanical resistance 0.80 kg/s. The force Fcos(@t) is exerted on the mass, where F = 3.0 N and o = 5.1 rad/s. Determine the quality factor of the ocillator. The bandwidth of an oscillator is the frequency range over which the dissipated power is equal to or greater than half of the maximum value. Does the drive frequency lie within the bandwidth of the oscillator? As always, show your work. (b) The drive frequency in (a) is now slowly changed to o = 0.2 rad/s. What is this regime called (stiffness-controlled, inertia-controlled, or resistance-controlled)? Determine the approximate values of the displacement amplitude and the phase of the displacement relative to the force (not the velocity relative to the force).Please Explain thoroughly the formulas and adjustments made to the formulas:A person rides on a mechanical bucking horse (see Figure 13-24) that oscillates up and down withsimple harmonic motion. The period of the bucking is 0.75 s and the amplitude is slowly increasing. At acertain amplitude the rider must hang on to prevent separating from the mechanical horse.(a) What keeps the rider on the horse?. At what point in the motion is the rider most likelythrown?(b) Give a force diagram showing the forces acting on the rider.(c) Find the amplitude at which the rider must hold on or be thrown.