An organ pipe is open at both ends. It is producing sound
1 answer:
To solve this problem we will apply the concepts related to the wavelength of its third harmonic.
It describes that the wavelength is equivalent to
Here,
The wavelength is in turn described as a function that depends on the change of the speed as a function of the frequency, that is to say
In this case the speed is equivalent to the speed of sound and the frequency was previously given, therefore
Finally the length of the pipe would be
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Answer:
Both the frequency f and velocity v will increase.
When the radius reduces, the circumference of the circular path becomes smaller which means that more number of revolutions can be made per unit time as long as the force is kept constant; this is an increase in frequency.
Explanation:
The centripetal force acting on a mass in circular motion is given by equation (1);
where m is the mass of the object and r is radius of the circle. From equation one we see that the centripetal force is directly proportional to the square of the velocity and inversely proportional to the radius of the circular path.
However, according to the problem, the force is constant while the radius and the velocity changes. Therefore we can write the following equation;
Also recall that m is constant so it cancels out from both sides of equation (2). Therefore from equation we can write the following;
By observing equation (2) carefully, the ratio will with the square root increase
since
is lesser than
.
Hence by implication, the value of will be greater than
.
As the radius changes from to
, the velocity also changes from
to
.
Answer:
There is a loss of fluid in the container of 0.475L
Explanation:
To solve the problem it is necessary to take into account the concepts related to the change of voumen in a substance depending on the temperature.
The formula that describes this thermal expansion process is given by:
Where,
Change in volume
Initial Volume
Change in temperature
coefficient of volume expansion (Coefficient of copper and of the liquid for this case)
There are two types of materials in the container, liquid and copper, so we have to change the amount of Total Volume that would be subject to,
Where,
= Change in the volume of liquid
= Change in the volume of copper
Then replacing with the previous equation we have:
Our values are given as,
Thermal expansion coefficient for copper and the liquid to 20°C is
Replacing we have that,
Therefore there is a loss of fluid in the container of 0.475L
Answer:
The prediction for its maximum potential energy is 109,375 J
Explanation:
Given;
mass of the coaster car, m = 350 kg
speed of the coaster car at the lowest point, v = 25 m/s
The coaster car will have maximum kinetic energy at the lowest point and based on law of conservation of mechanical energy, the maximum kinetic energy of the coaster car at the lowest point will be equal to maximum potential energy at the highest point.
Therefore, the prediction for its maximum potential energy is 109,375 J