Calculating Speed: Solving a Physics Wave Question | Homework Help

In summary, the cyclist and car are approaching each other at the same speed, with the car making a 500 Hz sound at 343 m/s and the cyclist hearing it as 535 Hz. To find their speeds, the general Doppler formula must be used, resulting in a velocity of 11.6 m/s.
  • #1
roxxyroxx
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Homework Statement


a cyclist and a car are approaching each other at the same speed. the car makes a 500 Hz sound at 343 m/s. the cyclist hears the sound as 535 Hz. How fast are they moving?


Homework Equations



f2 = f1(v/v[tex]\pm[/tex]vs)

The Attempt at a Solution


535 hz = 500 hz(343 m/s[tex]\div[/tex]343 m/s-vs)
vs = 22.4 m/s

but the answer should be 11 m/s
HELP ??
 
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  • #2
In this case, both the source and the receiver move, so u must use the general Dopple formula, not the specific formula for each case the source moves or the receiver moves.

f' = f.(V+Vr)/(V-Vs)

f': frequency received

f: frequency created.

V: speed of the wave (sound or light).

Vr: velocity of the receiver: positive if moving toward the source, otherwise it's negative.

Vs: velocity of the source: positive if moving toward the receiver, otherwise it's negative.

In this case, Vs=Vr, and they're both positive. U will get the result 11,6 m/s. Be happy :D
 
  • #3
great thanks!
 

FAQ: Calculating Speed: Solving a Physics Wave Question | Homework Help

What is a wave?

A wave is a disturbance that travels through a medium, transferring energy from one point to another without permanently displacing the medium itself.

What causes waves?

Waves are caused by an initial disturbance or vibration in a medium, such as a disturbance in the water that creates ocean waves or a vibration in the air that creates sound waves.

What are the properties of waves?

Waves have several key properties, including amplitude (the height of the wave), wavelength (the distance between two consecutive points with the same phase), frequency (the number of waves passing a point per second), and speed (how fast the wave is traveling).

What is the difference between transverse and longitudinal waves?

Transverse waves vibrate perpendicular to the direction of propagation, while longitudinal waves vibrate parallel to the direction of propagation. Examples of transverse waves include water waves and electromagnetic waves, while examples of longitudinal waves include sound waves.

How do waves interact with each other?

Waves can interact with each other in several ways, including constructive interference (when two waves combine to form a larger wave) and destructive interference (when two waves cancel each other out). Waves can also reflect, refract, and diffract when they encounter different mediums or obstacles.

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