Answer:
N = 2500
Explanation:
By definition, the sampling frequency (fs) is:
<em>where N: is the number of samples and T: is the time</em>
Hence, the number of samples at the sampling frequency, 500 Hz, to get 5 seconds of data is:
I hope it helps you!
Answer:
1. t = 3.27 seconds
2. y = 147.3 m
Explanation:
Newton's Laws of Motions.
y = v₁t + 1/2 at²
a = (v₂-v₁)/t
where
y = the vertical distance travelled
v₁ = the initial velocity
v₂ = the final velocity
t = the time
a = the acceleration
final velocity is equal to 0.
So, v₂ = 0.
a = (v₂-v₁)/t
a = (0-30)/t
a = -30/t
plugin values into the first equation:
y = v₁t + 1/2 at²
49 = 30t + 1/2 (-30/t)t²
49 = 30t -15t
49 = 15 t
t = 49/15
t = 3.27 seconds
2.
y = v₁t + 1/2 at²
a = -30/3.27
a = 9.2
y = 30(3.27) + 1/2(9.2) 3.27²
y = 147.3 m
Answer:
v= 300 m/s
Explanation:
Given that
altitude ,h= 4500 m
The mass ,m = 3 kg
Lets take acceleration due to gravity , g= 10 m/s²
The speed before impact at sea level = v
Initial speed ,u = 0 m/s
We know that
v²=u²+2 g h
v=final speed
u=initial speed
h=height
Now by putting the values in the above equation
v² = 0²+ 2 x 10 x 4500
v²=90000
v= 300 m/s
Therefore the speed at sea level will be 300 m/s.
Answer:
Explanation:
First of all, we can find the speed of the sound wave, which is given by:
where
f = 645 Hz is the frequency
is the wavelength
Substituting,
Now we can find the temperature of the air by using the following relationship:
where T is the temperature in Celsius degrees. Since we know v = 322.5 m/s, we can re-arrange the formula to find the temperature:
Answer:
evaporating water from its skin
