A ball is rolled uphill a distance of 13 meters before it slows, stops, and begins to roll back. The ball rolls downhill 27 mete
1 answer:
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The frequency of the wave is 132 Hz
Explanation:
To calculate the speed of the wave, we can use the following formula:
where
d is the distance travelled by the wave
t is the time elapsed
For the sound wave in this problem, we have:
d = 660 m is the distance travelled
t = 2 s is the time interval considered
Substituting and solving for v, we find the speed of the sound wave:
Now we can calculate the frequency of the wave by using the wave equation:
where
v = 330 m/s is the speed of the wave
is the wavelength
f is the frequency
Solving for f, we find:
Learn more about wavelength and frequency:
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This question involves the concepts of dynamic pressure, volume flow rate, and flow speed.
It will take "5.1 hours" to fill the pool.
First, we will use the formula for the dynamic pressure to find out the flow speed of water:
where,
v = flow speed = ?
P = Dynamic Pressure = 55 psi = 379212 Pa
= density of water = 1000 kg/m³
Therefore,
v = 27.54 m/s
Now, we will use the formula for volume flow rate of water coming from the hose to find out the time taken by the pool to be filled:
where,
t = time to fill the pool = ?
A = Area of the mouth of hose = = 1.98 x 10⁻⁴ m²
V = Volume of the pool = (Area of pool)(depth of pool) = A(1.524 m)
V = = 100.1 m³
Therefore,
<u>t = 18353.5 s = 305.9 min = 5.1 hours</u>
Learn more about dynamic pressure here: