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No, a radio wave is not a mechanical wave. A radio wave is a form of electromagnetic (EM) energy, and it does not require a medium through which to travel like a mechanical wave does. Radio waves can travel through the vacuum of space. Let's contrast that with a mechanical wave.

A mechanical wave involves the transfer of mechanical energy into and through a medium. Sound waves (which travel through air) and water waves (which move through water) are mechanical waves. They cannot travel without a medium through which to move.

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