Book Value Calculation Formula
Wednesday, July 20th, 2011
Waves’ Problem – Easy points?
A wave of 500Hz, in a string, has a velocity of 350m/s.
What is the distance between two points of the string if their phase differs by pi/3?
For you guys to avoid doing lots of calculations, i’ll put all values i’ve calculated below, together with the possible formulas to use, and the answer of the exercise.
f=500Hz
T = 0.002s
v = 350m/s
wavelength = 0.7m
angular frequency = 1570rad/s
wave number =4.49
formulae:
y(x,t)=A sen (kx-wt)
k=2pi/wavelength
w=2 * pi * f
v = wavelength*f = w/k = wavelength/T
Book’s answer: 11.7cm
Please, help!
Easy.
Wave velocity = wavelength * frequency
wavelength = Wave velocity / frequency
= 350/500 = 0.7m
That is the length that covers the phase of 2Pi
Let’s write this as metres per radian:
0.7/2pi
So, if you want to know the distance that covers the phase of pi/3:
0.7/2pi = distance / pi/3
distance = 0.7/2pi *pi/3
= (0.7*pi)/(6*pi)
=0.7/6
=0.117m (11.7cm)
Simple!
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Symmetric Mean Absolute Percentage Error $52.8 New – High Quality Content by WIKIPEDIA articles! Symmetric mean absolute percentage error (SMAPE or sMAPE) is an accuracy measure based on percentage (or relative) errors. It is usually defined as follows: The absolute difference between At and Ft is divided by half the sum of the actual value At and the forecast value Ft. The value of this calculation is summed for every fitted point t and divided again by the number of fitted points n. The earliest reference to this formula appears to be Arms |
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Symmetric Mean Absolute Percentage Error $52.8 Used – High Quality Content by WIKIPEDIA articles! Symmetric mean absolute percentage error (SMAPE or sMAPE) is an accuracy measure based on percentage (or relative) errors. It is usually defined as follows: The absolute difference between At and Ft is divided by half the sum of the actual value At and the forecast value Ft. The value of this calculation is summed for every fitted point t and divided again by the number of fitted points n. The earliest reference to this formula appears to be Arm |
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