Who will hear the voice of a singer first- a person in the balcony 50.0 m away from the stage, or a person 3000 km away at home whose ear is next to the radio? How much sooner? Assume that the microphone is a few centimeters from the singer and the temperature is 20 degree Celcius.
Figure the time by using velocity (of light, and then sound).
i didn't get u by figuring time by using velocity of sound.
What is the velocity of sound.
To determine who will hear the voice of a singer first and how much sooner, we need to consider the speed of sound in air and the distances involved.
The speed of sound in air at a temperature of 20 degrees Celsius is approximately 343 meters per second. This means that sound travels at a rate of 343 meters per second in air at this temperature.
The person in the balcony is 50.0 meters away from the stage, while the person at home is 3000 km away. To compare the distances, we need to convert the distance from the person at home to meters.
1 kilometer is equal to 1000 meters, so 3000 km is equal to 3000 x 1000 = 3,000,000 meters.
Now, let's calculate the time it takes for sound to reach each person:
For the person in the balcony:
Time = Distance / Speed
Time = 50.0 meters / 343 meters per second
For the person at home:
Time = Distance / Speed
Time = 3,000,000 meters / 343 meters per second
Calculating these values will give us the time it takes for the sound to reach each person.
For the person in the balcony:
Time = 50.0 / 343
Time ≈ 0.146 seconds
For the person at home:
Time = 3,000,000 / 343
Time ≈ 8741.35 seconds
Converting the seconds to minutes, the time for the person at home is approximately:
8741.35 seconds / 60 seconds/minute ≈ 145.69 minutes
Therefore, the person in the balcony will hear the voice of the singer first, approximately 0.146 seconds sooner than the person at home.