The amplitude of an oscillator is initially
16.3 cm and decreases to 84.1 % of its initial
value in 24.5 s due to air damping.
What is the new amplitude after the 24.5 sdecay?
What is the value of the time constant?
The amplitude of an oscillator is initially 16.3 cm and decreases to 84.1 % of its initial value in 24.5 s due...
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?
2. The amplitude of a damped harmonic oscillator drops to 1/e of its initial value after n complete cycles. Show that the ratio of the period of oscillator to the period of the same oscillator with no damping is given by Td To when n is large.
A damped harmonic oscillator consists of a block of mass 5kg and a spring with spring constant k = 10 N/m. Initially, the system oscillates with an amplitude of 63 cm. Because of the damping, the amplitude decreases by 56% of its initial value at the end of four oscillations. What is the value of the damping constant, b? What percentage of initial energy has been lost during these four oscillations?
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 2.4 s. Its amplitude decreases by 3% 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?
A damped harmonic oscillator consists of a block of mass 3 kg and a spring with spring constant k=7 N/m. Initially, the system oscillates with an amplitude of 23 cm. Because of the damping, the amplitude loses 60% of its initial value by the end of four oscillations. a.) What is the value of the damping constant, b? b =? b.) What percentage of initial energy has been lost during these four oscillations? %=?
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4.) A harmonic oscillator starts with an amplitude of 20.0 cm. After 10.0 s, the amplitude decreases to 15.0 cm. If the linear damping coefficient is 2.00 Ns/m, how much mass is oscillating?
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 = ________
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)