Among other things, the angular speed of a rotating vortex (such as in a tornado) may be determined by the use of Dopple

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Among Other Things The Angular Speed Of A Rotating Vortex Such As In A Tornado May Be Determined By The Use Of Dopple 1 (35.62 KiB) Viewed 29 times

Among other things, the angular speed of a rotating vortex (such as in a tornado) may be determined by the use of Doppler weather radar. A Doppler weather radar station is broadcasting pulses of radio waves at a frequency of 2.85 GHz, and it is raining northeast of the station. The station receives a pulse reflected off raindrops, with the following properties: the return pulse comes at a bearing of 51.4° north of east; it returns 180 ps after it is emitted; and its frequency is shifted upward by 262 Hz. The station also receives a pulse reflected off raindrops at a bearing of 52.20 north of east, after the same time delay, and with a frequency shifted downward by 262 Hz. These reflected pulses have the highest and lowest frequencies the station receives. (a) Determine the radial-velocity component of the raindrops (in m/s) for each bearing (take the outward direction to be positive). 51.4° north of east 13.7 lx Check the sign convention associated with the double Doppler shift. You may have used the sign convention associated with the case where the shift is negative rather than positive. Keep in mind that we are dealing with a double Doppler shift. m/s 52.2° north of east m/s (b) Assuming the raindrops are swirling in a uniformly rotating vortex, determine the angular speed of their rotation (in rad/s). rad/s