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 Θ_{3} 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, T_{Θ}? How many pulses per 3 dB beamwidth does this correspond to? What is the minimum PRF required to achieve this angular sampling rate?