A student, 90.0 m away from the foot of a cliff, claps her hands and hears the echo 0.50 s later. Calculate the speed of sound in the air.
sound went 180m
speed=totaldistance/time
Well, let me tell you, this student must have some impressive clapping skills to create an echo that travels all the way to the cliff! But let's get serious (or not), and calculate the speed of sound in the air.
To find the speed of sound, we need to use the formula: speed = distance/time.
In this case, the distance is twice the distance to the cliff because the sound has to make a round trip. So the total distance is 2 times 90.0 m, which gives us 180.0 m.
The time it takes for the sound to travel is given as 0.50 s. So the speed of sound would be 180.0 m divided by 0.50 s, which gives us... *drumroll*... 360.0 meters per second.
So, the speed of sound in the air is approximately 360.0 m/s. Just imagine how fast your voice would have to travel to keep up with that speed!
To calculate the speed of sound in the air, we can use the formula:
Speed = Distance/Time
We know that the distance traveled by the sound is twice the distance between the student and the cliff, since the sound waves need to travel from the student to the cliff and back. Therefore, the distance is 2 * 90.0 m = 180.0 m.
The time it takes for the sound to travel this distance is given as 0.50 s.
Plugging these values into the formula, we get:
Speed = 180.0 m / 0.50 s
Speed = 360 m/s
Therefore, the speed of sound in the air is 360 m/s.
To calculate the speed of sound in the air, we can use the formula:
Speed of sound = Distance / Time
In this case, the distance is the round trip distance traveled by the sound wave, which is twice the distance between the student and the cliff. The time is the time taken for the sound to travel to the cliff and back as indicated by the echo.
Given:
Distance = 90.0 m
Time = 0.50 s
First, we'll calculate the round trip distance traveled by the sound wave:
Round trip distance = 2 * Distance = 2 * 90.0 m = 180.0 m
Now, we can substitute the values into the speed of sound formula:
Speed of sound = Round trip distance / Time = 180.0 m / 0.50 s = 360.0 m/s
Therefore, the speed of sound in the air is 360.0 m/s.