Answer:
The amplitude of the eardrum's oscillation is 6.65×10^-13 m.
Explanation:
Given data:
The sound has a frequency of 262 Hz
The sound level is 84 dB
The air density is 1.21 kg/m^3
The speed of sound is 346 m/s
Solution:
As, Intensity of sound is given by,
I = Io×10^(s/10 db)
I = 2×π^2×ρ×v×f^2×Sm^2
Thus,
Sm = √(Io×10^(s/10 db)) / √( 2×π^2×ρ×v×f^2)
Now, put the values,
Sm = √( 10^-12 × 10^(84/10) ) / √( 2×(3.14)^2×1.21×346×(262)^2 )
Sm = √(2.51×10^-4 / 5.66×10^8)
Sm = √0.443×10^-12
Sm = 6.65×10^-13 m.
Answer:
I₁/I₂ = 1000
Thus, the sound of siren is 1000 times louder than the sound of wolf's howl.
Explanation:
First, we need to calculate the intensity of both the sounds. The formula for sound level is given as:
L = 10 log[I/I₀]
where,
L = Sound Level in dB
I = Intensity of sound
I₀ = Reference intensity = 10⁻¹² W/m²
<u>FOR SOUND OF SIREN:</u>
L = 120 dB
I = I₁ = ?
Therefore,
120 = 10 log[I₁/10⁻¹²]
log[I₁/10⁻¹²] = (120)/10
log[I₁/10⁻¹²] = 12
I₁/10⁻¹² = 10¹²
I₁ = (10¹²)(10⁻¹²)
I₁ = 1
<u>FOR SOUND OF WOLF'S HOWL:</u>
L = 90 dB
I = I₂ = ?
Therefore,
90 = 10 log[I₂/10⁻¹²]
log[I₂/10⁻¹²] = (90)/10
log[I₂/10⁻¹²] = 9
I₂/10⁻¹² = 10⁹
I₂ = (10⁹)(10⁻¹²)
I₂ = 10⁻³
Now, we divide the intensities:
I₁/I₂ = 1/10⁻³
I₁/I₂ = 10³
<u>I₁/I₂ = 1000</u>
<u>Thus, the sound of siren is 1000 times louder than the sound of wolf's howl.</u>
Answer:
884 m
Explanation:
The motion of the baseball is a projectile motion: a uniform motion along the horizontal direction and a uniformly accelerated motion along the vertical direction.
The horizontal range of a projectile (the horizontal distance covered by the object before it reaches the original vertical height) is given by
where
u is the initial speed
is the angle of launch
g = 9.8 m/s^2 is the acceleration of gravity
For the ball in this problem,
u = 100 m/s
Substituting into the equation, we find the range of the ball:
so, the ball will cover 884 m before reaching the original vertical level.
Your pendulum does a complete swing in 1.9 seconds. You want to SLOW IT DOWN so it takes 2.0 seconds.
Longer pendulums swing slower.
You need to <em>make your pendulum slightly longer</em>.
If your pendulum is hanging by a thread or a thin string, then its speed doesn't depend at all on the weight at the bottom. You can add weight or cut some off, and it won't change the speed a bit.
Answer:
10kg m/s
Explanation:
We can use the conversation of momentum for this question. Essentially the momentum before and after the crash will remain the same. We can use the formula P = mv to solve.
P = 1 * 10
P = 10kg m/s
Best of Luck!