Final Answer:
The loudspeaker on a tall pole emits sound waves spherically in all directions.
Step-by-step explanation:
Sound waves propagate from a loudspeaker uniformly in all directions because of its omnidirectional nature. This means that as the speaker emits sound, the waves spread out as a sphere, extending equally in every direction from the source. Imagine this like ripples on the surface of a pond when a stone is dropped at its center - the waves spread out symmetrically. Similarly, when sound emanates from the loudspeaker, it disperses in a spherical pattern, ensuring that the sound is distributed uniformly in all directions.
The distribution of sound waves in a spherical manner can be explained by the formula for the surface area of a sphere, which is given by A = 4πr², where 'A' represents the surface area and 'r' is the radius of the sphere. In this context, the sound waves originating from the loudspeaker cover the surface of a sphere around it. As the radius of this spherical surface increases, the area it covers also increases. Therefore, the sound energy spreads equally in all directions, creating an omnidirectional sound field.
Physically, this omnidirectional broadcast is crucial in various applications like public address systems, where the aim is to reach a broad audience without the need to direct the speaker in a particular direction. By emitting sound waves in all directions, the loudspeaker ensures an even distribution of sound across its surroundings, making it ideal for scenarios where widespread coverage is necessary, such as in open spaces or large gatherings.