Determine the time delay between emission of a pulse and reception of the reflected pulse?

A radar transceiver observes an airplane by measuring the times of microwave pulses reflected from the plane. Suppose the plane is 15.97 km distant from the radar antenna. Determine the time delay between emission of a pulse and reception of the reflected pulse. Express the answer in microseconds (ms).

The speed of light (and all electromagnetic radiation, including microwave radiation) is 300,000 km/s.

So you need to find the time for the microwave radiation pulse to be emitted, reach the plane, and return to the receiver at the radar antenna. The total distance is then 2 * 15.97 km = 31.94 km.

Time = distance/speed = 31.94 km / 300,000 km/s = 0.000106s = 106.47ms

Hope this helps
Bill

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2 Responses to Determine the time delay between emission of a pulse and reception of the reflected pulse?

  1. Bill W says:

    The speed of light (and all electromagnetic radiation, including microwave radiation) is 300,000 km/s.

    So you need to find the time for the microwave radiation pulse to be emitted, reach the plane, and return to the receiver at the radar antenna. The total distance is then 2 * 15.97 km = 31.94 km.

    Time = distance/speed = 31.94 km / 300,000 km/s = 0.000106s = 106.47ms

    Hope this helps
    Bill
    References :

  2. Thomas Scherrer says:

    0.000106s = 106.47ms

    eh !! the right answer is 106.47uS

    today cheap electronic counters can measure time delays with 1nS
    resolution, giving you under 1m resolution !

    good luck,
    Thomas Scherrer
    OZ2CPU webx.dk

    References :