Determine the nyquist sampling interval - radar system, Electrical Engineering

Consider an S band (3 GHz) radar with a rotating aperture antenna with a width of 3 m.  Suppose the antenna rotates at a rate of one rotation every 10 seconds.  Assume the 3 dB beamwidth Θ3 of the antenna is given by Eq. in the text with k = 2.  What is the 3 dB beamwidth in degrees?  What is the Nyquist sampling interval in angle, TΘ?  How many pulses per 3 dB beamwidth does this correspond to?  What is the minimum PRF required to achieve this angular sampling rate?

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