1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Molodets [167]
3 years ago
10

A string with a length of 4.00 m is held under a constant tension. The string has a linear mass density of \mu=0.000600~\text{kg

/m}μ=0.000600 kg/m. Two resonant frequencies of the string are 400 Hz and 480 Hz. There are no resonant frequencies between the two frequencies. What is the tension in the string?
Physics
1 answer:
yulyashka [42]3 years ago
6 0

Answer:

T=245.76N

Explanation:

We know that the frequency of the nth harmonic is given by f_n=nf, where f is the fundamental harmonic. Since we have the values of two consecutive frequencies, we can do:

f_{n+1}-f_n=(n+1)f-nf=nf+f-nf=f

Which for our values means (we do not need the value of <em>n</em>, that is, which harmonics are the frequencies given):

f=f_{n+1}-f_n=480Hz-400Hz=80Hz

Now we turn to the formula for the vibration frequency of a string (for the fundamental harmonic):

f=\frac{1}{2L} \sqrt{\frac{T}{\mu}}

So the tension is:

T=\mu(2Lf)^2

Which for our values is:

T=(0.0006kg/m)(2(4m)(80Hz))^2=245.76N

You might be interested in
3. How does the mass of a proton compare to the mass of an electron?
o-na [289]

Answer:

Proton, stable subatomic particle that has a positive charge equal in magnitude to a unit of electron charge and a rest mass of 1.67262 × 10−27 kg, which is 1,836 times the mass of an electron.

7 0
3 years ago
As a woman walks, her entire weight is momentarily placed on one heel of her high-heeled shoes. Calculate the pressure exerted o
astraxan [27]

Answer:

3.6 x 10⁶ Pa

Explanation:

A = Area of the heel = 1.50 cm² = 1.50 x 10⁻⁴ m²

m = mass of the woman = 55.0 kg

g = acceleration due to gravity = 9.8 m/s²

Force of gravity on the heel is given as

F = mg

Inserting the values

F = (55) (9.8)

F = 539 N

Pressure exerted on the floor is given as

P = \frac{F}{A}

P = \frac{539}{1.5\times 10^{-4}}

P = 3.6 x 10⁶ Pa

6 0
3 years ago
A national college researcher reported that 67%of students who graduated from high school in 2012 enrolled in college. Twenty-ni
dsp73

Answer:

Explanation:

Theorem of Binomial Distribution will apply here.

n = 29 , p = .67 , q = 0.33

mean = np = 29 x .67 = 19.43

Standard Deviation = √npq

= √29 x .67 x .33

= √6.4

= 2.53

=

4 0
3 years ago
10 POINTS AND BRAINLIEST!!!!
Maurinko [17]
The answer is earth.
7 0
3 years ago
Read 2 more answers
At which moon position would a person on Earth see the entire half of the moon(full-moon)?
jeka94
Sun-earth-moon in a straight line. Earth in the 'middle'.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Using the “On the Highway” distance time graph, what is the average velocity of the car? (use slope = rise/ run OR v = d/t)
    11·1 answer
  • Calculate the average orbital speed of Ceres in
    11·1 answer
  • How would I graph the data in the table on the graph? ********WORTH 50 POINTS********WILL MARK BRAINLIEST**********
    11·2 answers
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!<br><br> What types of waves are Sound Waves?
    6·1 answer
  • Suppose you pull two opposite sides of the loop away from each other, such that the other two sides get closer, reducing the loo
    15·1 answer
  • You are holding a 1 kg rock and standing at the top of a cliff. You drop the rock off the cliff and it falls a distance 10 m. In
    9·1 answer
  • 4. True or False. Improving your muscular endurance can improve your<br> power *
    9·1 answer
  • What is the initial vertical velocity of the ball?
    15·1 answer
  • What is the word when 2 waves meet and affect each other
    12·1 answer
  • 2. A kg of iron and a kilo of lead, both at 1000 degrees Celsius, are kept on ice. It is discovered after some time that the iro
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!