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Ede4ka [16]
4 years ago
14

A small earthquake starts a lamppost vibrating back and forth. The amplitude of the vibration of the top of the lamppost is 7.0

cm at the moment the quake stops, and 7.6 s later it is 2.0 cm.a. What is the time constant for the damping of the oscillation? b. What was the amplitude of the oscillation 4.0 s after the quake stopped?
Physics
1 answer:
krok68 [10]4 years ago
8 0

Answer:

(a) T=6.07s

(b) x_{max|4.0s}=3.62cm

Explanation:

For Part (a)

The initial amplitude is given as A=7.0 cm

Apply the equation x_{max}(t)=Ae^{-t/T} with  x_{max}(7.6s)=2.0cm we have:

x_{max}(t)=Ae^{-t/T}\\2.0cm=(7.0cm)e^{-7.6s/T}\\T=-\frac{7.6s}{ln(\frac{2.0cm}{7.0cm} )} \\T=6.07s

For Part (b)

Apply x_{max}(t)=Ae^{-t/T}  with t=4.0s and T=6.07s we have

x_{max}(t)=Ae^{-t/T}\\x_{max}(4.0s)=(7.0cm)e^{-4.0/6.07}\\x_{max|4.0s}=3.62cm

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Answer:

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4.9=9.8\times (1-\frac{2h}{6400\times10^3} )

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4 0
3 years ago
A wheel has a constant angular acceleration of 1.8 rad/s2. During a certain 4.0 s interval, it turns through an angle of 45 rad.
tankabanditka [31]

Answer:

4.25 s

Explanation:

Given:

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as we know that,

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Next is to find t by using the equation

w_{1} =  w_{o} + \alpha t_{1}

7.65= 0 + (1.8)t_{1}

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