BIO Hearing a Pin Drop The ability to hear a “pin drop” is the sign of sensitive hearing. Suppose a 0.48-g pin is dropped from a height of 31 cm, and that the pin emits sound for 1.2 s when it lands. Assuming all of the mechanical energy of the pin is converted to sound energy, and that the sound radiates uniformly in all directions, find the maximum distance from which a person can hear the pin drop. (This is the ideal maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.)
BIO Hearing a Pin Drop The ability to hear a “pin drop” is the sign of sensitive hearing. Suppose a 0.48-g pin is dropped from a height of 31 cm, and that the pin emits sound for 1.2 s when it lands. Assuming all of the mechanical energy of the pin is converted to sound energy, and that the sound radiates uniformly in all directions, find the maximum distance from which a person can hear the pin drop. (This is the ideal maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.)
BIO Hearing a Pin Drop The ability to hear a “pin drop” is the sign of sensitive hearing. Suppose a 0.48-g pin is dropped from a height of 31 cm, and that the pin emits sound for 1.2 s when it lands. Assuming all of the mechanical energy of the pin is converted to sound energy, and that the sound radiates uniformly in all directions, find the maximum distance from which a person can hear the pin drop. (This is the ideal maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.)
Study of body parts and their functions. In this combined field of study, anatomy refers to studying the body structure of organisms, whereas physiology refers to their function.
a)
What is the minimum tension in N that the cable must be able to support without breaking? Assume the cable is massless.
T =
b)
If the cable can only support a tension of 10,000 N what is the highest mass the ball can have in kg?
mm =
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DATA
FIT TYPE
FIT
Harmonic Motion X
us
0.45
mi
ce
0.4
0.35
0.3
0.25
0.2
Residuals Plot
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Plot Prediction Bounds None
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COA Fourier
Equation
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x vs. t
-Harmonic Motion
a0+ a1*cos(x*w) +
b1*sin(x*w)
Number of terms
Center and scale
1
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Results
Value
Lower
Upper
0.15
a0
0.1586
0.1551
0.1620
a1
0.0163
0.0115
0.0211
0.1
b1
0.0011
-0.0093
0.0115
W
1.0473
0.9880
1.1066
2
8
10
t
12
14
16
18
20
Goodness of Fit
Value
Table of Fits
SSE
0.2671
Fit State Fit name
Data
Harmonic Motion x vs. t
Fit type
fourier1
R-square
0.13345
SSE
DFE
0.26712
296
Adj R-sq
0.12467
RMSE
0.030041
# Coeff
Valic
R-square
0.1335
4
DFE
296.0000
Adj R-sq
0.1247
RMSE
0.0300
What point on the spring or different masses should be the place to measure the displacement of the spring? For instance, should you measure to the bottom of the hanging masses?
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