An oscillator has a period of 2.5 s. Its amplitude decreases by 7% during each cycle.
(a) By how much does its energy decrease during each
cycle?
%
(b) What is the time constant τ?
(c) What is the Q factor?
An oscillator has a period of 2.5 s. Its amplitude decreases by 7% during each cycle....
The amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle? A. 33% B. 0.33% C. 6% D. 3% E. 9%
The amplitude of an oscillator decreases to 58.1 %of its initial value in 21.0 s . What is the value of the time constant?
A damped oscillator loses 2.0% of its energy during each cycle. (a) How many cycles elapse before half of its original energy is dissipated? (Use the 2.0% information to get a relation between γ and T, then use that to find t1/2 in terms of T) (b) What is its Q factor? (c) If the natural frequency is 150 Hz, what is the width of the resonance curve (in rad/s) when a sinusoidal force drives the oscillator?
An oscillator with a mass of 410 g and a period of 1.20 s has an amplitude that decreases by 2.20% during each complete oscillation. Part A If the initial amplitude is 9.60 cm, what will be the amplitude after 36.0 oscillations? Express your answer with the appropriate units. A- 1 Value Units Submit Request Answer
An oscillator with a mass of 500 g and a period of 0.50 s has an amplitude that decreases by 5.0 % each complete oscillation. If the initial amplitude is 18 cm , what will be the amplitude after 21 oscillations? (show work please)
A damped oscillator has a frequency w’ that is 10% less than its undamped frequency. (a) By what factor is the amplitude of the oscillation decreased during each oscillation? (b) By what factor is its energy reduced during each oscillation
(1) A damped oscillator has a quality factor of 20. Part A:- By what fraction does the energy decrease during each cycle? Part B:- By what percentage does the damped angular frequency ωd differ from the undamped angular frequency?
Got this wrong. Please solve
Try It Yourself #8 A certain damped harmonic oscillator loses 5% of its energy in each full cycle of oscillation. By what factor must the damping constant be changed in order to damp it critically? Picture: The critical damping constant is related to the mass and period of the motion. The system's Q factor is also related to these parameters, so could be used to solve for b. Take the ratio to find the factor...
A 2 kg object oscillates with an initial amplitude of 3 cm on a spring of force constant k = 425 N/m. (a) Find the period. ________ s (b) Find the total initial energy. ________ J (c) If the energy decreases by 1% per period, find the damping constant b and the Q factor. b = ________ kg/s Q = ________
5. A pendulum has a period of 0.75 seconds and an undamped amplitude of 8.5. A damping force can be turned on which has a time constant of 4.5 s. A. What is the frequency of the oscillation without damping? B. Once the damping is turned on, how long will it take for the frequency to decrease to 35% of the undamped amplitude? C. How many oscillations will the pendulum make in the time determined in part B?