ANSWER:
The answer will be OT
Angry sound level = 70 db
Soothing sound level = 50 db
Frequency, f = 500 Hz
Assuming speed of sound = 345 m/s
Density (assumed) = 1.21 kg/m^3
Reference sound intensity, Io = 1*10^-12 w/m^2
Part (a): Initial sound intensity (angry sound)
10log (I/Io) = Sound level
Therefore,
For Ia = 70 db
Ia/(1*10^-12) = 10^(70/10)
Ia = 10^(70/10)*10^-12 = 1*10^-5 W/m^2
Part (b): Final sound intensity (soothing sound)
Is = 50 db
Therefore,
Is = 10^(50/10)*10^-12 = 18*10^-7 W/m^2
Part (c): Initial sound wave amplitude
Now,
I (W/m^2) = 0.5*A^2*density*velocity*4*π^2*frequency^2
Making A the subject;
A = Sqrt [I/(0.5*density*velocity*4π^2*frequency^2)]
Substituting;
A_initial = Sqrt [(1*10^-5)/(0.5*1.21*345*4π^2*500^2)] = 6.97*10^-8 m = 69.7 nm
Part (d): Final sound wave amplitude
A_final = Sqrt [(1*10^-7)/(0.5*1.21*345*4π^2*500^2)] = 6.97*10^-9 m = 6.97 nm
C.
Hope this helps good luck
Answer:
I = 97.2 10³⁶ kg m²
Explanation:
The moment of inertia of a body the expression of inertia in the rotational movement and is described by the expression
I = ∫ r² dm
In this problem we are told to use the moment of inertia of a uniform sphere, the expression of this moment of inertia is
I = 2/5 M r²
where m is the mass of the earth and r is the radius of the earth.
Let's calculate
I = 2/5 5.97 10²⁴ (6.38 10⁶)²
I = 97.2 10³⁶ kg m²