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Eduardwww [97]
3 years ago
11

You know that you sound better when you sing in the shower. This has to do with the amplification of frequencies that correspond

to the standing-wave resonances of the shower enclosure. A shower enclosure is created by adding glass doors and tile walls to a standard bathtub, so the enclosure has the dimensions of a standard tub, 0.75m wide and 1.5m long. Standing sound waves can be set up along either axis of the enclosure. What are the lowest two frequencies that correspond to resonances on each axis of the shower? These frequencies will be especially amplified. Assume a sound speed of 343 m/s.A) What are the lowest two frequencies that correspond to resonances on the short axis?B) What are the lowest two frequencies that correspond to resonances on the longer axis?
Physics
1 answer:
Elena L [17]3 years ago
3 0

Answer:

Explanation:

For first overtone

Standing waves will be formed lengthwise and breadth-wise in the enclosures  having dimension of .75m  x 1.5 m

A ) For the formation of lowest two frequencies formed by standing waves along the breadth  , fundamental note and first overtone may be considered.  

For fundamental note ,  

the condition is  

wave length λ = 2L = 2 x 0.75 m  

λ = 1.5 m  

frequency n = v / λ

= 343 / 1.5  

= 229  Hz approx

For first overtone

λ = L = 0.75m

frequency n = v / λ

n = 343 / 0.75  

= 457 Hz approx

B)

For the formation of lowest two frequencies formed by standing waves along the length , fundamental note and first overtone may be considered.  

For fundamental note ,  

the condition is  

wave length λ = 2L = 2 x 1.5 m  

λ = 3 m  

frequency n = v / λ

= 343 / 3  

= 114 Hz approx

frequency n = v / λ

n = 343 / 1.5  

= 229 Hz approx

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leonid [27]

Answer:

The pulling force that the man should apply to create an upward acceleration of 1.20m/s^{2} is P=621.5N

Explanation:

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As it shows in the drawing at the end, we have that the total mass of the man plus the platform is 113 kg, then the force downward W is W=mg=113Kg*9.8m/s^{2}=1107.4N.

Due the man needs to do a pulling force upward capable of lifting himself and the platform with an acceleration of 1.20m/s^{2}, this force should create an acceleration greater than gravity by 1.20m/s^{2}. then a_{up}=g+1.2m/s^{2}=9.8m/s^{2}+1.2m/s^{2}=11m/s^{2}. Therefore the force should be P_{up}=ma_{up}=113kg*11m/s^{2}=1243N.

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, therefore P=\frac{1243N}{2}=621.5N.

8 0
3 years ago
To achieve a speed of 2 m/s, the bottle must be dropped at m. To achieve a speed of 3 m/s, the bottle must be dropped at m. To a
klio [65]

Answer:

\begin{array}{l|l}\text{Speed}\; \mathrm{(m\cdot s^{-1})} & \text{Minimum Height\;(m)}\\\cline{1-2}\\[-1em] 2 & 0.204\\3&0.459\\4 & 0.815\\5 & 1.27 \\6 & 1.83\end{array}.

Assumptions:

  • The object is dropped in a free fall.
  • There's no air resistance.
  • The downward acceleration due to gravity is \rm 9.81\;m\cdot s^{-2}

Explanation:

Consider the "SUVAT" equation

\displaystyle \frac{v^{2} - u^{2}}{2a} = x,

where

  • v is the final velocity,
  • u is the initial velocity,
  • a is the acceleration of the object, and
  • x is the change in the object's position.

For example, if the bottle needs to achieve a speed of v = \rm 2\; m\cdot s^{-1} by the time it reaches the ground,

  • u = 0 since the statement that the bottle is "dropped" implies a free fall.
  • a = g = \rm 9.81\;m\cdot s^{-2}.

Apply the previous equation to find the minimum height, x:

\displaystyle x = \frac{v^{2} - u^{2}}{2a} = \rm \frac{\left(2\; m\cdot s^{-1}\right)^{2}}{2\times 9.81\; m\cdot s^{-2}} \approx 0.204\; m.

Replace the v value and apply the formula to find the minimum height required to reach different final speeds.

8 0
3 years ago
Read 2 more answers
object x and y fall from a same height and object x is heavier than y which object would fall faster qnd y​
hjlf

Answer: They’d fall at the same speed, because air resistance is the only thing that makes an object fall faster than another. There’s a video somewhere on the internet of a bowling ball and a feather falling at the same speed in a vacuum, if you look for it. Hope this helps!

4 0
2 years ago
A 2.00 m wave has a frequency of 686 Hz. What is the speed of the wave?
qwelly [4]
Wave speed = frequency * wavelength
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4 0
3 years ago
1 Calculate the size of the quantum involved in the excitation of (a) an electronic motion of frequency 1.0 × 1015 Hz, (b) a mol
torisob [31]

Answer: a) E= 6.63x10^-19J

E= 3.97×10^2KJ/mol

b) E = 3.31×10^-19J

E= 18.8×10^4 KJ/mol

C) E = 1.32×10^-33J

E= 8.01×10^-10KJ/mol

Explanation:

a) E = h ×f

h= planks constant= 6.626×10^-34

E=(6.626×10^-34)×(1.0×10^15)

E=6.63×10^-19J

1mole =6.02×10^23

E=( 6.63×10^-19)×(6.02×10^23)

E=3.97×10^2KJ/mol

b) E =(6.626×10^-34)/(1.0×10^15)

E=3.13×10^-19J

E= 3.13×10^-19) ×(6.02×10^23)

E= 18.8×10^3KJ/MOL

c) E= (6.626×10^-34) /0.5

E= 1.33×10^-33J

E= (1.33×10^-33) ×(6.02×10^23)

E= 8.01×10^-10KJ/mol

8 0
3 years ago
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