0.30 sec after seeing a puff of smoke rise from the starter's pistol the sound of the firing of the pistol is heard 100.0 m away. what is the velocity of the sound in m/s and in km/h?
Divide the 100 m distance by the 0.30 s time interval. That will give you sound speed in m/s. Round the result to two significant figures.
I assume you can convert m/s to km/h.
Show your work if you need further assistance.
Well, it seems like the sound's a bit of a slowpoke, taking its sweet time to travel 100.0 meters. Let's crunch some numbers to find its velocity.
Since we know the distance (100.0 m) and the time (0.30 s), we can use the formula velocity = distance / time. Plugging in the numbers, we get:
velocity = 100.0 m / 0.30 s
To simplify this, let's divide both the numerator and denominator by 0.30:
velocity = 333.33 m/s
So, the velocity of sound is approximately 333.33 m/s.
Now, to km/h! To convert m/s to km/h, we multiply by 3.6, since there are 3.6 thousand meters in a kilometer:
velocity = 333.33 m/s * 3.6
That gives us:
velocity = 1200.0 km/h
Therefore, the velocity of sound is approximately 333.33 m/s (or meters per second) and 1200.0 km/h (or kilometers per hour). The sound is coming in slow but steady, just like my jokes!
To determine the velocity of sound, we can use the formula:
v = d / t
where:
v = velocity of sound
d = distance traveled by sound
t = time taken for the sound to travel
Given:
d = 100.0 m
t = 0.30 s
Substituting these values into the formula:
v = 100.0 m / 0.30 s
v ≈ 333.33 m/s
To convert this to km/h, we can use the conversion factor 1 km = 1000 m and 1 hour = 3600 seconds:
v = 333.33 m/s * (1 km / 1000 m) * (3600 s / 1 hour)
v ≈ 1199.99 km/h
Therefore, the velocity of sound is approximately 333.33 m/s and 1199.99 km/h.
To find the velocity of sound, we can use the formula:
velocity = distance / time
In this case, the distance the sound traveled is 100.0 m, and the time it took for the sound to reach the observer is 0.30 seconds.
1. First, let's calculate the velocity of sound in meters per second (m/s):
velocity = distance / time
velocity = 100.0 m / 0.30 s
velocity = 333.33 m/s
Thus, the velocity of sound is approximately 333.33 m/s.
2. Next, let's calculate the velocity of sound in kilometers per hour (km/h):
To convert m/s to km/h, we can use the following conversion factor: 1 m/s = 3.6 km/h.
velocity (km/h) = velocity (m/s) * (3.6 km/h / 1 m/s)
velocity (km/h) = 333.33 m/s * 3.6 km/h / 1 m/s
velocity (km/h) = 1200 km/h
Therefore, the velocity of sound is approximately 1200 km/h.