PART 4. RADAR I8 MARKSI Radar is an acronym standing for Radio Detection And Ran
ID: 119260 • Letter: P
Question
PART 4. RADAR I8 MARKSI Radar is an acronym standing for Radio Detection And Ranging. In airborne radar mapping instruments mounted studies, pulses of radio waves are emitted vertically downward from radar on underside of an aircraft (or satellite) flying at a known altitude (determined by a GPS receiver). The radar pulse travels to the ground below the plane and is reflected back to the radar instruments, which detect the echo and determine the time of flight, At, from the plane to the of y, the distance travelled by the radar pulse in its round trip to the ground and back is c At. The "range", or distance to the ground, d, is half of the retuhn ground and back. Since the radio waves are electromagnetic radiation they travel at the speed light, c -3 x 10 m/s. Consequently, travel distance, i.e. and the height of the land surface, h, is hA-d where d is the altitude of the plane relative to sexa-level. 8. If a plane is flying at an altitude of 300 m above sea level, how high is a hilltop detected by a radar pulse with a travel time ofdt = 0.64 s? [8 Marks]Explanation / Answer
8. Given,
Flying Altitude of the plane = 300m (height, h)
Travel time of Radar Pulse t = 0.64 µs,
Equations given as per RADAR properties;
d (distance) = c t/2, and , where c = 3 * 10 ^8 m/s ,
h (height) = A-d, where, A = altitude of the plane relative to sea level and d = distance as given above
Therefore to calculate the height of hilltop detected by a radar pulse as per the given question and equations given it is formulated and calculated as follows;
d = ct/2
d = (3 * 10 ^8)*(0.64*10^-6)/2 (where, µ = 0.000001, Therefore 10^-6 is used)
d = 192/2
d = 96 m.
Therefore, distance (d) to the ground = 96 meters.
Now, to find out the height of hilltop detected by radar pulse is;
h = A – d
h = 300 – 96
h = 204 m.
Therefore, the hilltop is 204 meters high.
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