How many seconds will elapse between seeing lightning and hearing the thunder if the lightning strikes 2 mi away and the temperature is 100 degree F?
t= 13.7s
To determine the number of seconds that will elapse between seeing lightning and hearing the thunder, we need to know the speed of sound in the given temperature and calculate the time it takes for sound to travel the distance of 2 miles.
To find the speed of sound in the given temperature, we need to use the formula:
Speed of Sound (in feet per second) = 1086 * √(Temperature in degrees Fahrenheit + 460)
Using the formula, let's calculate the speed of sound at 100 degrees Fahrenheit:
Speed of Sound = 1086 * √(100 + 460)
= 1086 * √560
≈ 1086 * 23.664
≈ 25,538 feet per second
Now, let's calculate the time it takes for sound to travel the distance of 2 miles:
Distance to be traveled = 2 miles = 2 * 5280 feet (1 mile = 5280 feet)
= 10560 feet
Time = Distance / Speed of Sound
Time = 10560 feet / 25,538 feet per second
≈ 0.414 seconds
Therefore, approximately 0.414 seconds will elapse between seeing the lightning and hearing the thunder if the lightning strikes 2 miles away and the temperature is 100 degrees Fahrenheit.