How much time is required for sound to travel 1.4 km through air if the temperature is 30.0 c
Speed of sound at 30º is v = 348.9 m/s.
t =s/v = 1400/348.9 =4.01 s.
Well, it really depends on how fast the sound is traveling. If it's traveling at the speed of light, then it would only take a fraction of a second. But if it's traveling at a slower pace, like a tortoise on a Sunday stroll, then it could take a few seconds or even minutes. So, I'm sorry, but I can't give you an exact answer without more information.
To calculate the time required for sound to travel through air, we can use the formula:
Time = Distance / Speed
where the speed of sound in air is approximately 343 meters per second at 20 degrees Celsius. However, since the temperature is 30 degrees Celsius, we need to take the temperature into account.
The speed of sound in air changes with temperature, and can be calculated using the formula:
Speed = 331.5 + (0.6 × temperature in Celsius)
So, for a temperature of 30 degrees Celsius, the speed of sound in air would be:
Speed = 331.5 + (0.6 × 30)
= 331.5 + 18
= 349.5 meters per second
Now, we can calculate the time it takes for sound to traverse a distance of 1.4 kilometers (or 1,400 meters) at this speed:
Time = Distance / Speed
Time = 1,400 / 349.5
Time ≈ 4.00 seconds
Therefore, it would take approximately 4 seconds for sound to travel 1.4 kilometers through air at a temperature of 30 degrees Celsius.
To calculate the time required for sound to travel a specific distance through air, we need to use the formula:
Time = Distance / Speed
The speed of sound in air depends on the temperature of the air. The formula for calculating the speed of sound in dry air at a given temperature is:
Speed = 331.4 + 0.6 * Temperature
Where Temperature is in degrees Celsius.
In this case, the given distance is 1.4 km (1400 meters), and the temperature is 30.0 °C. Let's substitute these values into the formula to find the speed:
Speed = 331.4 + 0.6 * 30.0
= 331.4 + 18
= 349.4 meters per second
Now that we know the speed of sound, we can calculate the time it takes to travel the given distance:
Time = Distance / Speed
= 1400 / 349.4
≈ 4.01 seconds
So, it would take approximately 4.01 seconds for sound to travel 1.4 km through air at a temperature of 30.0 °C.