Solve Speed of Car Given 36% Horn Drop: 340m/s Sound Speed

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In summary, To find the speed of the car, we can use the formula f'=f(v/(v-v_source)) and solve for v_source. However, we also need to consider the change in units from m/s to km/h and the fact that the tone of the horn drops by 36% in comparison to its initial frequency.
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luna02525
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Homework Statement



Find the speed of a car if the tone of the horn drops by 36 percent as it passes you. The speed of sound is 340 m/s. Answer in units of km/h.

Homework Equations



f'=f(v/(v-v_source))

solce for v source.



The Attempt at a Solution



I thought I would just set .36f = f (340/(340-x)) and solve for x (x= -604.4) this is not the right answer.
 
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luna02525 said:
Find the speed of a car if the tone of the horn drops by 36 percent as it passes you. The speed of sound is 340 m/s. Answer in units of km/h.

f'=f(v/(v-v_source)

It drops by 36% in comparison to the frequency it had before passing you.

The formula you've written above is incorrect, if it is for the moving away part.

You have to consider both the source coming toward you initially and then receding.

And, of course, the change in units, as mentioned in the last post.
 

1. What is the formula for solving the speed of a car given 36% horn drop and a sound speed of 340m/s?

The formula for solving the speed of a car is distance divided by time. In this case, the distance would be the 36% horn drop distance and the time would be the time it takes for the sound to travel at a speed of 340m/s.

2. How do you determine the 36% horn drop distance?

The 36% horn drop distance is the distance the car travels between the time the horn is honked and the time the sound reaches the listener. This distance can be determined by measuring the time it takes for the sound to reach the listener and multiplying it by the speed of sound (340m/s).

3. Can the 36% horn drop distance be affected by external factors?

Yes, the 36% horn drop distance can be affected by external factors such as wind speed, temperature, and air pressure. These factors can alter the speed of sound and therefore affect the distance traveled by the sound.

4. What is the significance of using 36% horn drop in this calculation?

The 36% horn drop is a commonly used standard in calculating the speed of a car. It takes into account the time delay between the honking of the horn and the sound reaching the listener, which can be affected by external factors. Using this percentage allows for a more accurate calculation of the car's speed.

5. Are there any limitations to using this method to determine the speed of a car?

Yes, there are limitations to using this method. It assumes that the speed of sound is constant and that there are no external factors affecting the 36% horn drop distance. In reality, these factors can vary and affect the accuracy of the calculation. Additionally, this method does not take into account the acceleration or deceleration of the car, which can also impact its speed.

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