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NikAS [45]
3 years ago
6

What is the frequency of a wave having a period equal to 18 seconds? a. 6.6 × 10-2 hertz b. 5.5 × 10-2 hertz c. 3.3 × 10-2 hertz

d. 1.8 × 10-2 hertz e. 8.0 × 10-3 hertz
Physics
2 answers:
irakobra [83]3 years ago
6 0
Frequency = 1/period. ... 1 / 18 sec = (1/18) per sec. That's 0.056 per sec or 0.056 Hz. (rounded) (5.6 x 10^-2 Hz)
Karolina [17]3 years ago
6 0

Answer: Option (b) is the correct answer.

Explanation:

The time taken by a wave crest to travel a distance equal to the length of wave is known as wave period.

The relation between wave period and frequency is as follows.

                    T = \frac{1}{f}

where,        T = time period

                   f = frequency

It is given that wave period is 18 seconds. Therefore, calculate the wave period as follows.

                           T = \frac{1}{f}

 or,                      f = \frac{1}{T}

                                     = \frac{1}{18 sec}

                                     = 0.055 per second          (1 cycle per second = 1 Hertz)

or,                           f = 5.5 \times 10^{-2} hertz

Thus, we can conclude that the frequency of the wave is 5.5 \times 10^{-2} hertz.

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Una patinadora de 50 kg parte del reposo y después de recorrer 3k alcanza una velocidad de 15 m/s. ¿Qué fuerza neta experimenta
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Answer:

F_{net} = 1.875\,N

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Asúmase que la patinadora experimenta una aceleración constante. La fuerza neta experimentada por la patinadora:

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Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its string traces out a cone (see fi
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Answer:

a

The  radial acceleration is  a_c  = 0.9574 m/s^2

b

The horizontal Tension is  T_x  = 0.3294 i  \ N

The vertical Tension is  T_y  =3.3712 j   \ N

Explanation:

The diagram illustrating this is shown on the first uploaded

From the question we are told that

   The length of the string is  L =  10.7 \ cm  =  0.107 \ m

     The mass of the bob is  m = 0.344 \  kg

     The angle made  by the string is  \theta  =  5.58^o

The centripetal force acting on the bob is mathematically represented as

         F  =  \frac{mv^2}{r}

Now From the diagram we see that this force is equivalent to

     F  =  Tsin \theta where T is the tension on the rope  and v is the linear velocity  

     So

          Tsin \theta  =   \frac{mv^2}{r}

Now the downward normal force acting on the bob is  mathematically represented as

          Tcos \theta = mg

So

       \frac{Tsin \ttheta }{Tcos \theta }  =  \frac{\frac{mv^2}{r} }{mg}

=>    tan \theta  =  \frac{v^2}{rg}

=>   g tan \theta  = \frac{v^2}{r}

The centripetal acceleration which the same as the radial acceleration  of the bob is mathematically represented as

      a_c  =  \frac{v^2}{r}

=>  a_c  = gtan \theta

substituting values

     a_c  =  9.8  *  tan (5.58)

     a_c  = 0.9574 m/s^2

The horizontal component is mathematically represented as

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substituting value

   T_x  = 0.344 *  0.9574

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The vertical component of  tension is  

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substituting value

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       T  = T_x i  + T_y  j

substituting value  

      T  = [(0.3294) i  + (3.3712)j ] \  N

         

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