The Power of Height: Wave Amplitude and Energy

If the rest position is the middle point of a wave, then the height it reaches above or below that line is its displacement. If we measure the maximum displacement, then we have found the wave amplitude.

If a wave is created by a force, and a stronger force provides more energy, then the disturbance in the medium will be larger. If the disturbance is larger, then the wave amplitude increases.

If you strike a drum harder, you provide more energy and create a taller wave. If the wave is taller, then the sound is heard as having a higher volume.

If the energy of a wave is proportional to the square of its height (Energy = Amplitude^2), and you double the height (2^2), then the energy must increase by a factor of four.

If amplitude represents energy, then it changes how we perceive intensity, such as brightness or volume. However, speed and wavelength are determined by the medium and frequency, not by energy levels.

If amplitude is the distance from the equilibrium (middle) to a peak, then measuring from top to bottom would be measuring the total wave height. Since amplitude is only half of that distance, the statement is false.

If no energy is moving through the water or air, the particles do not move. If the particles are still, they are sitting at the rest position.

If light energy travels outward in a sphere, the energy must cover a larger area as it travels. If the energy is spread thinner, then the wave amplitude drops, making the light appear dimmer.

If energy is tied to the displacement from the center, then a wave with higher peaks or deeper valleys has more energy. If these vertical measurements are larger, then the wave amplitude is higher.

If frequency is how many cycles happen per second and amplitude is how tall those cycles are, then they are independent properties. If you make a sound louder, the pitch (frequency) stays exactly the same.

If the intensity of a wave is calculated by squaring the displacement, then the energy relationship is represented by A squared (A^2).

If moving your hand with more force puts more energy into the string, then the string will be pulled further from its middle. If the displacement increases, then the wave amplitude increases.

If amplitude measures the distance a particle moves from its starting point, and that distance is zero, then the particle has not moved. If no particles have moved, then there is no wave.

If energy is lost during a collision or reflection, then the wave has less power to move the medium. If the power to move the medium drops, then the wave amplitude must shrink.

If "high energy" is the definition of high amplitude, then loud sounds, bright lights, and large water surges qualify; whispers and dim lights represent low energy.

If a longitudinal wave has more energy, then the "pushes" (compressions) are stronger. If the pushes are stronger, then the particles are squeezed into a smaller space, creating a higher wave amplitude.

If a wave enters shallow water, the energy is pushed into a smaller volume of water. If the energy is concentrated, the water is forced higher, which increases the wave amplitude.

If a wave is a balanced vibration, then it moves the same distance up as it does down. If those two points are the crest and trough, then the distance to either one defines the amplitude.

If amplitude only measures the "strength" or energy of the signal, then it does not alter the timing (frequency), length (wavelength), or travel speed. Only the energy is affected.

If energy is proportional to the square of the amplitude, then Wave X has 2^2 (4) energy units and Wave Y has 6^2 (36) energy units. If you divide 36 by 4, then Wave Y has 9 times more energy.