Answer:
a. wavelength of the sound,
b. observed frequecy,
Given:
speed of sound source, = 80 m/s
speed of sound in air or vacuum, = 343 m/s
speed of sound observed, = 0 m/s
Solution:
From the relation:
v = (1)
where
v = velocity of sound
= observed frequency of sound
= wavelength
(a) The wavelength of the sound between source and the listener is given by:
(2)
(b) The observed frequency is given by:
(3)
Using eqn (2) and (3):
Answer:
The new angular velocity will be "80.73 rad/sec".
Explanation:
The given values are:
Angular velocity, W = 20 rad/s
M = 30 N
Time, t = 5 seconds
As we know,
On putting the values in the above formula, we get
Answer:
2.23 Hz
Explanation:
From the attached diagram below; there exists a diagrammatic representation of the equilibrium position of the cylinder.
The equilibrium position of the spring is expressed as:
mg = K
where;
m = mass of the object
g = acceleration due to gravity
K = spring constant
= static deflection of the string
Given that:
m = 30 kg
g = 9.81 m/s²
= 50 mm = 50 ×
= 0.05 m
Then;
From here; let us find the angular velocity which will be needed to determine the natural frequency aftewards.
The angular velocity of the cylinder can be expressed by the formula:
Finally; the natural frequency can be calculated by using the equation
= 2.229305729
≅ 2.23 Hz
Thus; the resulting natural frequency of the vertical vibration of the cylinder = 2.23 Hz
Explanation:
Below is an attachment containing the solution.
That change in pitch can be described by the math
of the Doppler effect. But that doesn't 'explain' it.