Subelement A: RADAR Principles – 10 Key Topics – 10 Exam Questions – 8 Drawings— Topic 2: Distance and Time
Question 8-2A6
Element 8 (RADAR)What is the distance in nautical miles to a target if it takes 308.5 microseconds for the RADAR pulse to travel from the RADAR antenna to the target and back.
Explanation
RADAR determines distance by measuring the time it takes for a radio pulse to travel from the antenna to a target and return. Since the pulse travels to the target and back, the measured time represents a round trip. Therefore, to find the one-way distance, we must use half of the total travel time.
The speed of radio waves (like RADAR pulses) is approximately the speed of light, which is 300,000,000 meters per second (3 x 10^8 m/s).
First, calculate the one-way travel time: 308.5 µs / 2 = 154.25 µs = 154.25 x 10^-6 seconds.
Next, calculate the distance in meters: Distance = Speed x Time = (3 x 10^8 m/s) * (154.25 x 10^-6 s) = 46,275 meters.
Finally, convert meters to nautical miles. One nautical mile is approximately 1852 meters.
46,275 meters / 1852 meters/NM ≈ 24.986 nautical miles.
Rounding this gives 25 nautical miles.
Option A (12.5 NM) would result if you incorrectly divided the final distance by two. Option C (50 NM) would result if you did not divide the travel time by two (calculating a 2-way distance). Option D (2.5 NM) is a result of significant calculation errors.
Related Questions
8-2A4 If a target is 5 miles away, how long does it take for the RADAR echo to be received back at the antenna?8-2A5 How long would it take for a RADAR pulse to travel to a target 10 nautical miles away and return to the RADAR receiver?8-30D1 What are the usual input signals to the video amplifier?8-30D2 Which of the following would not normally be an input to the video amplifier?8-30D3 The purpose of the sweep amplifier is to: