Of the two speeds, one is given. Just solve for the other.calculator20 said:There are 2 v's and I need just one, I have no idea where to start, please can you help?
Ah, so it's the algebra that's messing you up. First thing to do is get rid of that denominator on the right hand side. How can you do that?calculator20 said:Yes I know I have us but there are two v's in the equation and I don't know how to rearrange it to get one v on its own?
Almost. That second term on the left should have an f', not an f.calculator20 said:Multiply by it giving this?
f'v+fus = fv
Keep the term with us where it is, but move all the others to the right. Then you can solve for us.calculator20 said:Oh yes, sorry.
f'v + f'us = fv
I still can't see how I set it down to just one v without somehow cancelling both out along the way?
No, v is the speed of the car. You need to solve for us, which is the speed of sound.calculator20 said:But I'm solving for v?
You're right! (I must be losing my mind. Sorry about that!)calculator20 said:It's definitely v I need to find. According to my textbook us is the moving source velocity. In the other equation it uses uo as moving observer velocity.
Perfect!calculator20 said:f'us=fv-f'v
f'us =v(f-f')
v=f'us/(f-f')
Is that right?
The Doppler effect is a phenomenon that occurs when there is a perceived change in frequency of a wave due to relative motion between the source of the wave and the observer.
The Doppler effect is commonly observed with sound waves, where the perceived frequency of the sound changes depending on the relative motion between the source of the sound and the listener. This change in frequency can be used to calculate the speed of sound.
The speed of sound in the Doppler effect is affected by the relative motion between the source and the observer, the temperature and density of the medium the sound is traveling through, and the direction of the motion.
The Doppler effect is used in various real-world applications, such as radar and sonar systems, where it is used to determine the speed and direction of objects. It is also used in medical imaging, such as ultrasound, to create images of internal organs.
The speed of sound in a stationary medium is the physical speed at which sound waves travel through that medium. The Doppler effect, on the other hand, is a perceived change in frequency due to relative motion between the source and observer. So, while the speed of sound remains constant in a stationary medium, the perceived frequency changes in the Doppler effect depending on the relative motion between the source and observer.