12. What is the wavelength of the next standing wave (the next harmonic) of the pipe in the above problem? (2.67m) 4L (4)(z) ^ 2.67m 3
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- In this limit, what is the effective spring constant k for the pendulum in the limit of small angles? In this limit, what is the effective angular frequency ω of a pendulum in the limit of small angles?An object performing SHM has its velocity as a function of time given by v(t) = - (3.3 m) (91.0 rad/s) sin (91.0t + 0.10) What is the maximum speed of the vibration in m/s? Calculate your answer with a single digit of precision. Your Answer: AnswerA spring is attached to the ceiling and pulled 12 cm down from equilibrium and released. The amplitude decreases by 10% each second. The spring oscillates 18 times each second. Find an equation for the distance, D the end of the spring is below equilibrium in terms of seconds, t.
- A mass m on a spring with spring constant k oscillates with Simple Harmonic Motion. Assume m and k are both known in base SI units. The exact position of the harmonic oscillator is described by this function. All quantities are expressed in base Sl units: x(t) = cos(3rt + T/4) This is a multi-select question, you must select 2 correct answers to receive full credit. Question #1: VWhat is the period of the oscillation? Question #2: What is the total distance traveled by the oscillator during one full period? (Hint: this is not asking for the displacement) The period of the oscillation is 3n [s] | The period of the oscillation is 3 [s] | The period of the oscillation is 4 T [s] The period of the oscillation is 2/3 [s] The period of the oscillation is 3/4 T² [s] The total distance traveled during one full period is 0 [m] The total distance traveled during one full period is 1 [m] | The total distance traveled during one full period is 2 [m] The total distance traveled during one full…For a simple harmonic oscillator with x=Asinωtx=Asinωt write down an expression for the velocity. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for Greek letters such as ωω, use omega.The amplitude of a lightly damped oscillator decreases by 1.2% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle? Number Enter your answer in accordance to the question statement Units Choose the answer from the menu in accordance to the question statement g (gravity)kg/satomskm/h^2rev/minmegatonsft·lbhpdollarshits/satmL/minpercentcm^-3 or /cm^3s/hsmu/ylines/mmcentsuphotons/sphotons/s·m^2ktonm^-3 or 1/m^3kg/minN-s/mN/storr or mm Hgmg/sμm