Answer:
As given in the problem statement
frequency=1 KHz=1*10^3 Hz
V(t) is represented as
v(t) = 5sin(2 \pi 1000t) + 0.05sin(2 \pi 3000t)
v ( t ) = 5 s i n ( 2 π 1000 t ) + 0.05 s i n ( 2 π 3000 t )
Total harmonic distortion will be 234 Pi
The minimum speed of the water must be 3.4 m/s
Explanation:
There are two forces acting on the water in the pail when it is at the top of its circular motion:
- The force of gravity, mg, acting downward (where m is the mass of the water and g the acceleration of gravity)
- The normal reaction, N also acting downward
Since the water is in circular motion, the net force must be equal to the centripetal force, so:

Where:

v is the speed of the pail
r = 1.2 m is the radius of the circle
The water starts to spill out when the normal reaction of the pail becomes zero:
N = 0
When this occurs, the equation becomes:

And substitutin the values of g and r, we find the minimum speed that the water must have in order not to spill out:

Learn more about circular motion:
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Answer:
71.4583 Hz
67.9064 N
Explanation:
L = Length of tube = 1.2 m
l = Length of wire = 0.35 m
m = Mass of wire = 9.5 g
v = Speed of sound in air = 343 m/s
The fundamental frequency of the tube (closed at one end) is given by

The fundamental frequency of the wire and tube is equal so he fundamental frequency of the wire is 71.4583 Hz
The linear density of the wire is

The fundamental frequency of the wire is given by

The tension in the wire is 67.9064 N
Answer:
<em>x < 4</em>
Explanation:
<u>Inequalities</u>
The inequalities relate expressions using signs different from the equal sign, like "<" or "<" among others.
They can be treated as a normal equation but in case of directional relationals, care must be taken when multiplying or dividing by negative numbers.
The inequality given in the question is
3x - 4 > 4x - 8
Subtracting 3x in both sides
3x - 4 -3x > 4x - 8 -3x
Simplifying
-4 > x - 8
Adding 8
-4 + 8 > x - 8 + 8
Simplifying
4 > x
The solution comes by flipping both sides and the inequality sign
x < 4
Answer:
When a physical change in a sample occurs, composition of the sample does not change. It stays the same. It stays the same. Also, the properties of the sample will still be the same