Physics, 04.03.2020 21:01 marissaa190

What is the fundamental frequency of a 0.003 kg steel piano wire of length 1.3 m and under a tension of 2030 N? Answer in units of Hz. 005 (part 2 of 2) 10.0 points What is the fundamental frequency of an organ pipe 1.38 m in length, closed at the bottom and open at the top? The speed of sound is 340 m/s. Answer in units of Hz.

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Answer from: minervica

a) 277.5 Hz

b) 61.6 Hz

Explanation:

Stationary waves are the waves produced on a string: these are waves that do not propagate through space, since they travel only back and forth along the string.

These waves can have different frequencies, depending in how many segments of the string they vibrate.

The frequency of the fundamental mode of vibration (the one having only two nodes at the ends of the string) is called fundamental frequency, and it is given by:

$f_1=\frac{1}{2L}\sqrt{\frac{T}{m/L}}$

where

L is the length of the spring

T is the tension

m is the mass of the string

For the steel piano wire in this problem:

T = 2030 N

L = 1.3 m

m = 0.003 kg

Therefore, the fundamental frequency is

$f_1=\frac{1}{2(1.3)}\sqrt{\frac{2030}{(0.003)/(1.3)}}=277.5 Hz$

An organ pipe is a closed-air tube, which is open at one end and close at the other end.

For a closed-open air tube, the wavelength of the fundamental mode of vibration is equal to 4 times the length of the tube:

$\lambda_1 = 4 L$

In this case, the length of the tube is

L = 1.38 m

So the fundamental wavelength is

$\lambda_1 = 4(1.38)=5.52 m$

The relationship between frequency and wavelength for a sound wave is

$f_1=\frac{v}{\lambda_1}$

where in this case:

v = 340 m/s is the speed of sound

$\lambda_1 = 5.52 m$ is the fundamental wavelength

Solving for f1, we find the fundamental frequency:

$f_1=\frac{340}{5.52}=61.6 Hz$

Answer from: Quest

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol

b. a hockey puck sliding across the ice

c. a compressed spring

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice is the correct option.

Answer from: Quest

Drink a pepsi cherry iced fruit shoot apple juice milkshake mocktail

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What is the fundamental frequency of a 0.003 kg steel piano wire of length 1.3 m and under a tension...

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