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Sound is a longitudinal wave that requires a medium to travel. Explain how echoes are formed, and use the echo method to estimate the speed of sound if a boy standing 170 m from a cliff claps and hears the echo after 1 second.

Physics

ScanSolve AI Answer

Answer

340 m/s\text{340 m/s}

Step-by-step solution

3 steps

Huu hapa ni ufafanuzi na hesabu:

  1. Ufafanuzi wa jinsi mwangwi (echoes) huundwa.

    Mwangwi huundwa wakati mawimbi ya sauti yanapogonga uso mgumu, kama vile ukuta, mlima, au jengo, na kisha kuakisiwa (kurudi nyuma) kuelekea chanzo cha sauti. Akisi hii ya sauti ndiyo tunayosikia kama mwangwi. Ili mwangwi usikike wazi, lazima kuwe na umbali wa kutosha kati ya chanzo cha sauti na uso unaoakisi ili sauti iliyoakisiwa ifike masikioni baada ya sauti ya asili.

  2. Kukokotoa kasi ya sauti.

    Tunatumia fomula ya kasi, umbali, na muda:

    Kasi=UmbaliMuda\text{Kasi} = \frac{\text{Umbali}}{\text{Muda}}

    Katika kesi ya mwangwi, sauti husafiri umbali wa kwenda na kurudi. Kwa hivyo, umbali jumla uliosafiriwa na sauti ni mara mbili ya umbali kutoka kwa mvulana hadi kwenye jabali.

    Umbali kutoka kwa mvulana hadi jabali (dd) = 170 m170 \text{ m}
    Muda wa kusikia mwangwi (tt) = 1 s1 \text{ s}
    Umbali jumla uliosafiriwa na sauti = 2×d=2×170 m=340 m2 \times d = 2 \times 170 \text{ m} = 340 \text{ m}

  3. Badilisha thamani kwenye fomula.

    Kasi ya sauti=2×dt\text{Kasi ya sauti} = \frac{2 \times d}{t} Kasi ya sauti=340 m1 s\text{Kasi ya sauti} = \frac{340 \text{ m}}{1 \text{ s}} Kasi ya sauti=340 m/s\text{Kasi ya sauti} = 340 \text{ m/s}

    Kasi ya sauti ni:

    340 m/s\text{340 m/s}
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