A hammer strikes one end of a thick iron rail of length 8.80 m. A microphone located at the opposite end of the rail detects two pulses of s

Question

A hammer strikes one end of a thick iron rail of length 8.80 m. A microphone located at the opposite end of the rail detects two pulses of sound, one that travels through the air and a longitudinal wave that travels through the rail. (The speeds of sound in air and in iron are 343 m/s and 5950 m/s, respectively.)

Required:
Find the separation in time between the arrivals of the two pulses.

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Delwyn 5 years 2021-08-30T03:43:56+00:00 1 Answers 46 views 0

Answers ( )

  1. Nem
    0
    2021-08-30T03:45:33+00:00
    Reply

    Answer:

    ΔT = 0.02412 s

    Explanation:

    We will simply calculate the time for both the waves to travel through rail distance.

    FOR THE TRAVELING THROUGH RAIL:

    T_{rail} = \frac{Distance}{Speed\ of\ Sound\ in\ Rail}\\\\T_{rail} = \frac{8.8\ m}{5950\ m/s}\\\\T_{rail} = 0.00148\ s

    FOR THE WAVE TRAVELING THROUGH AIR:

    T_{air} = \frac{Distance}{Speed\ of\ Sound\ in\ Air}\\\\T_{air} = \frac{8.8\ m}{343\ m/s}\\\\T_{air} = 0.0256\ s

    The separation in time between two pulses can now be given as follows:

    \Delta T = T_{air}-T_{rail} \\\Delta T = 0.0256\ s - 0.00148\ s\\

    ΔT = 0.02412 s

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