The vibration of sound is measured in cycles per second, also called hertz (Hz). The frequency for middle C on a piano is 256 Hz . The C above middle C (one octave above) is 512 Hz . The frequencies of musical notes follow a geometric progression. a. Find the frequency for C two octaves above middle C . b. Find the frequency for C one octave below middle C .
The vibration of sound is measured in cycles per second, also called hertz (Hz). The frequency for middle C on a piano is 256 Hz . The C above middle C (one octave above) is 512 Hz . The frequencies of musical notes follow a geometric progression. a. Find the frequency for C two octaves above middle C . b. Find the frequency for C one octave below middle C .
Solution Summary: The author explains how to calculate the frequency for C two octaves above the middle on a piano.
The vibration of sound is measured in cycles per second, also called hertz (Hz). The frequency for middle
C
on a piano is
256
Hz
. The
C
above middle
C
(one octave above) is
512
Hz
. The frequencies of musical notes follow a geometric progression.
a. Find the frequency for
C
two octaves above middle
C
.
b. Find the frequency for
C
one octave below middle
C
.
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Q1 The SPT records versus depth are given in table below. Find qan for the raft 12%
foundation with BxB-10x10m and depth of raft D-2m, the allowable
settlement is 50mm.
Elevation, m 0.5 2
2 6.5 9.5 13 18 25
No.of blows, N 11 15 29 32 30 44
0
estigate shear
12%
University Calculus: Early Transcendentals (4th Edition)
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