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
Alinara [238K]
3 years ago
5

A guitar string has a linear density of 8.30 ✕ 10−4 kg/m and a length of 0.660 m. the tension in the string is 56.7 n. when the

fundamental frequency of the string is sounded with a 196.0-hz tuning fork, what beat frequency is heard?
Physics
2 answers:
poizon [28]3 years ago
4 0
First of all, we need to find the fundamental frequency of the string.

The fundamental frequency of a string is given by:
f_1 =  \frac{1}{2L} \sqrt{ \frac{T}{\mu} }
where L is the length of the string, T the tension and \mu the linear density.
Using the information given in the exercise: L=0.660 m, T=56.7 N and \mu =8.30 \cdot 10^{-4} kg/m, we find
f_1 =  \frac{1}{2\cdot 0.660 m} \sqrt{ \frac{56.7 N}{8.30 \cdot 10^{-4}kg/m} }=198 Hz

The beat frequency is given by the difference in frequency between the fundamental frequency of the string and the tuning fork (196 Hz), so it is:
f_b = 198 Hz - 196 Hz = 2 Hz
Sedbober [7]3 years ago
3 0
Ans: Beat Frequency = 1.97Hz

Explanation:
The fundamental frequency on a vibrating string is 

f =   \sqrt{ \frac{T}{4mL} }<span>  -- (A)</span>

<span>here, T=Tension in the string=56.7N,
L=Length of the string=0.66m,
m= mass = 8.3x10^-4kg/m * 0.66m = 5.48x10^-4kg </span>


Plug in the values in Equation (A)

<span>so </span>f = \sqrt{ \frac{56.7}{4*5.48*10^{-4}*0.66} }<span> = 197.97Hz </span>

<span>the beat frequency is the difference between these two frequencies, therefore:
Beat frequency = 197.97 - 196.0 = 1.97Hz
-i</span>
You might be interested in
A 615.00 kg race car is uniformly traveling around a circular race track. It takes the race car 20.00 seconds to do one lap arou
koban [17]

Answer:

The value is  f  =  0.05 \ Hz

Explanation:

From the question we are told that

     The mass of the car is  m  =  615 \  kg

      The period of the circular motion is  T  =  20 \  s

      The radius  is r =  80 \  m/s

Generally the frequency of the circular motion is  

       f  =   \frac{1}{T }

=>    f  =   \frac{1}{ 20  }

=>    f  =  0.05 \ Hz

3 0
3 years ago
The planet Jupiter has an acceleration due to gravity that is approximately 2.4 times as much as the earth (23.2 m s2 ). Which o
kumpel [21]

On Jupiter, C. your weight would increase by a factor of 2.4 . Weight is a product of mass and gravity. Mass does not change dependent upon location.

6 0
3 years ago
Read 2 more answers
How do you determine the specific heat of a substance?
svetlana [45]

Answer:

I think it's A

Explanation:

3 0
2 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!pls
barxatty [35]
I think this is the solution:

1: U-1, F,-4
2: Na-6, Mo-1, O-4
3: Bi-1, O-1, C-1, I-1
4: In-9, N-1
5: N-2, H-4, S-1, C-1
6: Ge- 15, N-4
7: N-1, H-4, C-1, I-1, O-3
8: H-7, F-1
9: N-1, O-5, H-1, S-1
10: H-8
11: Nb-1, O-1, C-1, I-3
12: C-3, F-3, S-1, O-3, H-1
13: Ag-1, C-1, N-1, O-1
14: Pb-6, H-1, As-1, O-4
5 0
2 years ago
A 13.5 μF capacitor is connected to a power supply that keeps a constant potential difference of 24.0 V across the plates. A pie
liubo4ka [24]

Answer:

Explanation:

Capacitance of the capacitor = 13.5μF

Voltage across plate is 24V

Dielectric constant k=3.55.

a. Energy in capacitor is given by

E=1/2CV^2

We want to calculate energy without the dielectric substance

Given that C=13.5 μF and V=24V

The capacitance give is with dielectric so we need to remove it

C=kCo

Co=C/k

Then the Co=13.5μF/3.55

Co=3.803μF

Then

E=(1/2)×3.803×10^-6×24^2

E=1.1×10^-3J

E=1.1mJ

b. Energy in capacitor is given by

E=1/2CV^2

The capacitance given is with a dielectric, so we are going to apply it direct.

Given that C=13.5 μF and V=24V

Then

E=(1/2)×13.5×10^-6×24^2

E=3.89×10^-3J

E=3.9mJ

c. The energy without dielectric is 1.1mJ and the energy with dielectric is 3.9mJ

The energy increase when the dielectric material is added

d. Dielectrics in capacitors serve three purposes: to keep the conducting plates from coming in contact, allowing for smaller plate separations and therefore higher capacitances;

Therefore, Since dielectric allow higher capacitance, and energy of a capacitor is directly proportional to the capacitance, then the higher the capacitance the higher the energy.

6 0
3 years ago
Other questions:
  • How does earth's magnetic field behave through long periods of geologic time?
    9·2 answers
  • 1.5kj of energy are used every second by a microwave oven, what is the power rating of the oven?
    15·2 answers
  • Of waterfalls with a height of more than 50 m , Niagara Falls in Canada has the highest flow rate of any waterfall in the world.
    12·1 answer
  • An architect finds some unlabeled dimensions on a blueprint, and no scale is shown. a 15-ft. wall that has already been built me
    8·2 answers
  • Koi is climbing through a crevice and places her feet so that her body is perpendicular as shown below she then rest in this spo
    11·1 answer
  • The particles of a medium will settle the rest position after a mechanical wave passes
    13·2 answers
  • An electric motor rotating a workshop grinding wheel at a rate of 1.31 ✕ 102 rev/min is switched off. Assume the wheel has a con
    13·1 answer
  • Which of the following best describes images formed by a convex mirror?
    12·2 answers
  • Kiko writes a roport to compare and contrast the code of plants and animals. Which of the following statements is accurato arvd
    7·1 answer
  • When 685 J of thermal energy (heat) is added to 7.9 g of a substance at 31°C, the temperature increases from 31 °C to 98 °C. Wha
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!