I was so confused by this question!! Any advice??
Suppose at a concert a singer’s voice is a radio broadcast all the wave around the world before reaching the radio you hold to your ear. This takes 1/8 seconds. If you’re close, you her her voice in the air before you hear it from the radio. But, if you are far away, both singnals will reach you at the same time. How many meters distant must you be for this to occur!!
Would it be 1 meter or 8 meters?? I think it’s 8!
I'm a little confused as to the exact question. The confusion may arise from some suspected typos or it may not but if you want to clean up the question it MAY make more sense.
To solve this question, we need to understand the concept of the speed of sound and the time it takes for sound to travel a certain distance. Here's how we can approach it:
1. The problem states that the time it takes for the radio broadcast to reach your ear is 1/8 seconds. This means there is a delay between the sound wave traveling through the air and reaching your ear through the radio.
2. The problem also mentions that if you are close to the singer, you will hear their voice in the air before you hear it from the radio. This suggests that the sound wave traveling through the air reaches your ear faster than the radio broadcast.
3. Conversely, if you are far away from the singer, both the sound wave in the air and the radio broadcast will reach your ear at the same time. This implies that the sound wave traveling through the air and the radio broadcast take the same amount of time to reach you.
Based on these observations, we can deduce that the voice in the air reaches your ear faster than the radio broadcast. Therefore, we can calculate the distance at which both signals reach you simultaneously by determining how far the radio broadcast would have traveled in the time it takes for the voice in the air to reach your ear.
To find the distance, we can use the formula: Speed = Distance / Time.
The speed of sound in air is approximately 343 meters per second. We know that the time it takes for the voice in the air to reach your ear is 1/8 seconds.
By rearranging the formula, Distance = Speed * Time, we can calculate the distance.
Distance = 343 m/s * 1/8 s = 42.875 meters.
So, you would need to be approximately 42.875 meters away for both signals to reach your ear at the same time.
Therefore, the correct answer would be approximately 43 meters, not 1 or 8 meters.