A parabolic radar antenna with a 2 ·m diameter transmits 200 . KW polses of energy. If its repet

step 1 Hello students in this question we have a parabolic radar of diameter D equals to 2 meter and tr

A parabolic radar antenna with a 2 ·m diameter transmits 200...

A parabolic radar antenna with a $2 \cdot \mathrm{m}$ diameter transmits 200 . KW polses of energy. If its repetition rate is 500 pulses per second. cach lasting $2 \mu \mathrm{s}$, determine the average reaction force on the antenna.

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Key Concepts

Electromagnetic Radiation Momentum

Electromagnetic waves carry momentum, which is directly related to the energy they transport by the relation p = E/c, where p is momentum, E is energy, and c is the speed of light. This concept is fundamental in understanding how the emission of radiation can exert a mechanical force on an object.

Impulse and Reaction Force

Impulse is defined as the change in momentum resulting from a force acting over a period of time. When energy is emitted, each pulse carries momentum, and by conservation of momentum, the source experiences an equal and opposite change. The reaction force is determined by the total impulse delivered per unit time.

Pulse Repetition and Average Force Calculation

In systems where energy is emitted in pulses rather than continuously, the pulse repetition rate plays a key role. The average force on the emitter can be calculated by multiplying the momentum carried by each pulse by the number of pulses per second, highlighting the relationship between discrete emissions and the resulting average reaction force.

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