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
Montano1993 [528]
3 years ago
7

One of the harmonics on a string 1.30m long has a frequency of 15.60 Hz. The next higher harmonic has a frequency of 23.40 Hz. F

ind a) the fundamental frequency, and b) the speed of the waves on the string.

Physics
1 answer:
Alja [10]3 years ago
4 0

Answer:

\large \boxed{\text{(a) 7.800 Hz; (b) 20.3 m/s; 40.6 m/s; 60.8 m/s}}

Explanation:

a) Fundamental frequency

A harmonic is an integral multiple of the fundamental frequency.

\dfrac{\text{23.40 Hz}}{\text{15.60 Hz}} = \dfrac{1.500}{1} \approx \dfrac{3}{2}

f = \dfrac{\text{24.30 Hz}}{3} = \textbf{7.800 Hz}

b) Wave speed

(i) Calculate the wavelength

In a  fundamental vibration, the length of the string is half the wavelength.

\begin{array}{rcl}L & = & \dfrac{\lambda}{2}\\\\\text{1.30 m} & = & \dfrac{\lambda}{2}\\\\\lambda & = & \text{2.60 m}\\\end{array}

(b) Calculate the speed s

\begin{array}{rcl}v_{1}& = & f_{1}\lambda\\& = & \text{7.800 s}^{-1} \times \text{2.60 m}\\& = & \textbf{20.3 m/s}\\\end{array}

\begin{array}{rcl}v_{2}& = & f_{2}\lambda\\& = & \text{15.60 s}^{-1} \times \text{2.60 m}\\& = & \textbf{40.6 m/s}\\\end{array}

\begin{array}{rcl}v_{3}& = & f_{3}\lambda\\& = & \text{23.40 s}^{-1} \times \text{2.60 m}\\& = & \textbf{60.8 m/s}\\\end{array}

You might be interested in
Aleksei’s family purchased a new water heater that is a heat pump. After installation, Aleksei noticed that the room containing
rjkz [21]
A heat pump is a device used to heat something, in this case water. Heat pump takes heat from colder object and transfers it to warmer object. This is opposite to <span>direction of spontaneous heat transfer which from warmer to colder object.

In this problem a room got colder while water got warmer. This is due to work done by heat pump. This is what is described in correct answer c).
a) is not correct because it shows </span>direction of spontaneous heat transfer. It also says that <span>Aleksei’s family purchased a new water heater and in description givne in a) it would mean that water got colder.
b) is not correct because if the </span><span>burning fuel increased the thermal energy in the air it would mean that this room got warmer than rest of house.
d) is not correct because burning fuel does not absorb </span><span>thermal energy. It releases it.</span>
5 0
3 years ago
Read 2 more answers
5.8 meters/second + 1.2 meters/second
Alex Ar [27]

Answer:7m/s

Explanation:

5.8+1.2

=7.

8 0
3 years ago
Read 2 more answers
In midair in the international space station a 1 kg chunk of putty moving at 1 m/s collides with and sticks to a 5 kg chunk of p
Delicious77 [7]
<span>We know that the momentum keeps constant in a inelastic collisions, so the product of mass and speed do not change:
   m1 * v1 + m2 * v2 = m * v
 1 * 1 + 5 * 0 = (1 + 5) * v
  1 = 6 * v
 v = 1/6 m/s
   So the final speed of the 6 kg chunk will travel at 0.167 m/s</span>
6 0
3 years ago
Why do we feel the effects of gravity given that the gravitational force is so weak?
almond37 [142]
Any two objects in the universe attract each other. Gravity is the force exerted by earth on you (you exert the same force on earth) but due to the fact that earth has a huge mass compared to yours, you will be attracted to earth only by a small gravitational force.

6 0
3 years ago
Read 2 more answers
Efficiency is given by A. actual output divided by effective capacity. B. design capacity divided by utilization. C. effective c
jok3333 [9.3K]

Answer:

A

Explanation:

Actual output divided by the effective capacity. It is the ratio of output to effectiveness

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is computer system ?​
    12·1 answer
  • Light incident on a surface at an angle of 45° undergoes diffused reflection. At what angle will it reflect?
    5·2 answers
  • 1. Solve: When you mix two substances, the heat gained by one substance is equal to the heat
    9·1 answer
  • Find the kinetic energy of a ball with a mass of 0.06 kg moving at 50 m/s
    13·1 answer
  • Several books are placed on a table. These books have a combined weight of 25 N and cover an area of 0.05 m2. How much pressure
    5·1 answer
  • The atomic number of a nucleus increases during which nuclear reactions?
    6·2 answers
  • Please help on this one? :)
    7·1 answer
  • Two platoons line up for a tug of war. If both platoons have the same number of participants on a team, what other factor is cri
    12·2 answers
  • suppose that a block is pulled 16 meters across a floor. what amount of work is done if the force used to drag the block is 22n
    7·1 answer
  • What are two ways to advance basketball down the Court​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!