Types of waves

Waves are disturbances that carry energy from one place to another. The main difference between wave types depends on the direction particles move compared to the wave's direction.

In transverse waves, particles vibrate perpendicular to the direction the wave travels. Imagine shaking a rope up and down—the rope moves vertically while the wave travels horizontally along it. Light waves and water waves are transverse. You see this clearly when you watch ocean waves at Lagos Beach: the water particles bob up and down, but the wave itself moves toward the shore.

Longitudinal waves make particles vibrate parallel to the wave's direction. Think of a slinky: when you push it, the coils compress and stretch along the same line the wave moves. Sound waves travelling through air work this way—air molecules vibrate back and forth in the direction sound travels. This is why sound can reach you even when you cannot see the source.

Waves can be described using mathematical equations that help us predict their behavior. The basic wave equation is y = A sin(ωt + φ), where A represents the amplitude (maximum displacement), ω is the angular frequency, t is time, and φ is the phase constant. Think of it like describing the ripples you see when you drop a stone into the lagoon near Lagos—the height of each ripple (amplitude) and how fast they repeat (frequency) follow this mathematical pattern.

The wavelength λ and frequency f are connected by the wave speed equation: v = fλ. This means if a sound wave travels faster through water than air, and the frequency stays the same, the wavelength must change accordingly. Understanding these equations lets you solve problems about how waves behave in different situations.