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Lv 7
? asked in Science & MathematicsPhysics · 9 years ago

Urgent! Help on Physics?

1. Two identical piano wires have a fundamental fre-quency of 600 Hz when kept under the same tension. What fractional increase in the tension of one wire will lead to the occurrence of 6.0 beats/s when both wires oscillate simul-taneously?

2. An acoustic burglar alarm consists of a source emitting waves of frequency 28.0 kHz. What is the beat frequency between the source waves and the waves reflected from an intruder walking at an average speed of 0.950 m/s directly away from the alarm?

2 Answers

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  • Lv 7
    9 years ago
    Favorite Answer

    1. Beat frequency is just the difference in the frequencies of the two wires. 6 beats/s means that the tension increased the frequency of one to 606 Hz. The equation for tension/frequency is:

    f1/f2 = sqrt( T1/T2)

    So you have:

    606/600 = sqrt(T1/T2)

    1.01=sqrt (T1/T2)

    T1/T2 = 1.0201

    Or a 2.01% increase in tension.

    2. This is a doppler effect problem. Again, the beat frequency is the difference in frequencies, so we must find the frequency of the reflected waves first. The doppler effect equation is:

    f1 = f2 + (2)(v1)(f2)/v2

    frequency reflected = f1

    frequency of source = f2 = 28,000 Hz

    velocity of object = v1 = 0.95 m/s

    velocity of sound = v2 = 340 m/s

    Rearranging gives:

    f1-f2 = (2)(v1)(f2)/v2

    f1-f2 is what we want. (the beat frequency)

    f1-f2 = (2)(0.95)(28000)/340 = 156.47 Hz.

    So the beat frequency is 156.47 Hz.

  • ?
    Lv 4
    5 years ago

    This concern is particularly complicated me as nicely.what's the question? i'm able to in ordinary terms wager that the question is: at what attitude is the rope related to the field. is this the question? if so, answer as follows: via fact the field strikes at a relentless velocity, the consequent or internet tension is 0. consequently the utilized tension in a horizontal path could be equivalent to the friction tension: utilized tension horizontal path = 25N 25N is the horizontal component to a 43N tension at an attitude ? with the floor. sparkling up for ?. cos ? = 25/40 3 cos ? = 0.5814 ? = fifty 4.40 5° above the horizontal The rope became at an attitude of fifty 4.40 5° above the horizontal

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