How Far Did the Sound Travel in an Empty Stadium?
What is the speed of sound in air?
Based on the data, what is the speed of sound in air and how is it calculated?
How far did the sound travel in the stadium?
Calculate the total distance the sound traveled in the empty stadium based on the given information.
What is the distance between Fred and the far wall?
Determine the distance between Fred and the far wall in the stadium after the sound wave bounces back.
Speed of Sound in Air
The speed of sound in air is approximately 344.47 meters per second (m/s). This value is calculated by converting 768 miles per hour (mph) to meters per second, considering that 1 mph is equal to 0.44704 meters per second.
Distance Travelled by Sound
The sound wave traveled a total distance of approximately 844.32 meters in the empty stadium. This calculation is achieved by multiplying the speed of sound by the time taken for the wave to bounce off the far wall and return to Fred, which is 2.45 seconds.
Distance Between Fred and Far Wall
After calculating the total distance traveled by the sound wave, the distance between Fred and the far wall is found to be about 422.16 meters. This distance is obtained by dividing the total distance traveled by the sound wave by 2, as the wave had to travel to the wall and back to reach Fred.
A sound wave is a type of wave that is caused by the vibration of particles in a medium such as air or water, and which carries energy through that medium. It is a longitudinal wave, meaning that the oscillations of the particles are in the same direction as the wave itself.
The speed of sound in air is actually around 767 miles per hour (mph) or 1,235 kilometers per hour (km/h). By converting the given mph value of 768 to meters per second (m/s), we get approximately 344.47 m/s. This conversion is crucial for accurately calculating distances and time measurements related to sound waves.
To determine the total distance traveled by the sound wave in the empty stadium, we multiply the speed of sound by the time it took for the wave to complete the round trip from Fred to the far wall and back. This calculation results in a distance of approximately 844.32 meters covered by the sound wave.
After finding the total distance, we find the distance between Fred and the far wall by halving the total traveled distance. This calculation gives us a distance of around 422.16 meters, revealing the distance between Fred and the far wall in the scenario presented.