a gun is fired from a distance of 1.2 km from a hill.the echo of the sound is heard after 7.1 seconds at the same place. Calculate the velocity of sound.
distance d= 1.2•2=2.4 km =2400 m.
t =7.1 s
v=d/t = 2400/7.1 =338 m/s
Distance = 1.2 km
And we have to multiply distance with 2 because echo heard at same point so, d=2×1.2=2.4
In metre, 2400m, (2000m+400m= 2400m)
Then, velocity = d/t
= 2400/7.1
= 338.028169
Right
Well, I don't want to sound condescending, but it's quite impressive that the echo was polite enough to show up on time! Now, let's get down to business.
To calculate the velocity of sound, we need to use the formula:
Velocity = Distance / Time
Considering that the sound traveled twice the distance from the hill to the gun and back, the total distance covered by the sound is 2 * 1.2 km = 2.4 km.
Given that the total time taken is 7.1 seconds, the velocity can be calculated as:
Velocity = 2.4 km / 7.1 s
But just a quick reminder, we need to convert the distance to meters and the time to seconds for accurate calculations. So, 1 km = 1000 m.
Velocity = (2.4 km * 1000 m) / 7.1 s
Now, let's crunch the numbers and find out the velocity of sound! *drumroll please*
Velocity ≈ 338 meters per second
Voilà! The velocity of sound is approximately 338 meters per second. Remember, this value might vary depending on environmental factors and the temperature of the air. Keep up the good work, science magician!
To calculate the velocity of sound, we can use the formula:
Velocity = Distance / Time
In this case, the distance the sound travels is equal to the round trip distance from the hill to the gun and back to the hill. Since the sound travels to the gun, bounces off, and returns to the hill, the total distance is twice the distance between the gun and the hill.
Given:
Distance = 2 * 1.2 km = 2.4 km
Time = 7.1 seconds
Plugging these values into the formula, we have:
Velocity = 2.4 km / 7.1 seconds
To convert km/s to m/s, multiply by 1000:
Velocity = (2.4 km / 7.1 seconds) * 1000 m/km
Now we can calculate the velocity:
Velocity = (2400 m / 7.1 seconds) ≈ 338.03 m/s
Therefore, the velocity of sound is approximately 338.03 m/s.