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Direction of Wave Propagation


Direction of Wave Propagation

If we know shape of the pulse at an instant time, or propagation direction of the particles of the pulse we can find the direction of wave propagation.

Example: Given picture below shows the direction of wave propagation. Find the directions of the vibration at points A, B and C.

We draw the shape of the pulse after t s and find the directions of the vibration at points A, B and C.

Velocity of the Spring Pulse

Distance taken at an instant time by the pulse is called velocity of the pulse. Velocity of the spring pulse depends on force exerted on the spring and spring constant µ. Spring constant depends on the type of the spring; it is found by the following formula;

 µ=mass/length

Where; v velocity of the spring pulse (m/s),

µ is the spring constant(kg/m), and F is the force exerted on the spring (N).

Example: Find relation of propagation velocity of pulses of identical springs in given picture below.

Force exerted on the springs directly proportional to the hanged masses. Thus, since G3>G2>G1,

v3>v2>v1.

Example:   There are three identical springs having equal masses and different lengths L3>L2>L1. Find the relation of velocities of pulses.

Propagation velocity of the pulse is;

Spring constant is;

 µ=mass/length

Relation of the lengths,

L3>L2>L1

Relation of the spring constants;

µ3<µ2<µ1

Propagation velocities become;

v3>v2>v1

Waves Exams and Solutions


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