Answer:
Power = 124.50 W
Explanation:
Given that:
The Sound intensity of a speaker output is 102 dB
and the distance r = 25 m
For the intensity of sound,
![\beta (dB)= 10 \ log_{10 } (\dfrac{I}{I_o})](https://tex.z-dn.net/?f=%5Cbeta%20%28dB%29%3D%2010%20%5C%20%20log_%7B10%20%7D%20%28%5Cdfrac%7BI%7D%7BI_o%7D%29)
where;
the threshold of hearing ![I_o = 10^{-12} (W/m^2)](https://tex.z-dn.net/?f=I_o%20%3D%2010%5E%7B-12%7D%20%28W%2Fm%5E2%29)
![\dfrac{102 }{10}= log_{10}( \dfrac{I}{10^{-12}})](https://tex.z-dn.net/?f=%5Cdfrac%7B102%20%7D%7B10%7D%3D%20log_%7B10%7D%28%20%5Cdfrac%7BI%7D%7B10%5E%7B-12%7D%7D%29)
![10^{10.2} = \dfrac{I}{10^{-12}}](https://tex.z-dn.net/?f=10%5E%7B10.2%7D%20%3D%20%20%5Cdfrac%7BI%7D%7B10%5E%7B-12%7D%7D)
![I = 10^{10.2} \times 10^{-12}](https://tex.z-dn.net/?f=I%20%3D%2010%5E%7B10.2%7D%20%5Ctimes%2010%5E%7B-12%7D)
I = 0.01585 W/m²
If we recall, we know remember that ;
Power = Intensity × A
rea
Power = 0.01585 W/m² × 4 × 3.142 × (25 m)²
Power = 124.50 W
Answer:
Flexibility Increases
Pre-breathe time decreases
Mass of suit decreases.
Explanation:
Spacesuits are designed for space shuttles when a person goes to explore the galaxy. The spacesuits shuttle era are pressurized at 4.3 pounds per inch. The gas in the suit is 100% of oxygen and there is more oxygen to breathe when the altitude of 10,000 is reached. This will decrease the breathing time and mass of suit.
Average speed is the ratio of total distance moved by Chi in total time interval
So here we will have
Total distance = 100 m + 400 m
![d = 500 m = 0.5 km](https://tex.z-dn.net/?f=d%20%3D%20500%20m%20%3D%200.5%20km)
Total time taken = 5 min + 15 min = 20 min
![T = \frac{20}{60} = \frac{1}{3} hour](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7B20%7D%7B60%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20hour)
now by the formula of average speed we know that
![v_{avg} = \frac{d}{T}](https://tex.z-dn.net/?f=v_%7Bavg%7D%20%3D%20%5Cfrac%7Bd%7D%7BT%7D)
![v_{avg} = \frac{0.5 km}{1/3 h}](https://tex.z-dn.net/?f=v_%7Bavg%7D%20%3D%20%5Cfrac%7B0.5%20km%7D%7B1%2F3%20h%7D)
![v_{avg} = 1.5 km/h](https://tex.z-dn.net/?f=v_%7Bavg%7D%20%3D%201.5%20km%2Fh)
so average speed will be 1.5 km/h
I think its d. but im not sure
Answer:
5.15348 Beats/s
4.55 mm
Explanation:
= Velocity of sound = 342 m/s
= Velocity of sound = 346 m/s
= First frequency = 440 Hz
Frequency is given by
![f_2=\frac{v_2}{2L_1}\\\Rightarrow f_2=\frac{346}{2\times 0.38863}\\\Rightarrow f_2=445.15348\ Hz](https://tex.z-dn.net/?f=f_2%3D%5Cfrac%7Bv_2%7D%7B2L_1%7D%5C%5C%5CRightarrow%20f_2%3D%5Cfrac%7B346%7D%7B2%5Ctimes%200.38863%7D%5C%5C%5CRightarrow%20f_2%3D445.15348%5C%20Hz)
Beat frequency is given by
![|f_1-f_2|=|440-445.15348|=5.15348\ Beats/s](https://tex.z-dn.net/?f=%7Cf_1-f_2%7C%3D%7C440-445.15348%7C%3D5.15348%5C%20Beats%2Fs)
Beat frequency is 5.15348 Hz
Wavelength is given by
![\lambda_1=\frac{v_1}{f}\\\Rightarrow \lambda_1=\frac{342}{440}\\\Rightarrow \lambda_1=0.77727\ m](https://tex.z-dn.net/?f=%5Clambda_1%3D%5Cfrac%7Bv_1%7D%7Bf%7D%5C%5C%5CRightarrow%20%5Clambda_1%3D%5Cfrac%7B342%7D%7B440%7D%5C%5C%5CRightarrow%20%5Clambda_1%3D0.77727%5C%20m)
Relation between length of the flute and wavelength is
![\lambda_1=2L_1\\\Rightarrow L_1=\frac{\lambda_1}{2}\\\Rightarrow L_1=\frac{0.77727}{2}\\\Rightarrow L_1=0.38863\ m](https://tex.z-dn.net/?f=%5Clambda_1%3D2L_1%5C%5C%5CRightarrow%20L_1%3D%5Cfrac%7B%5Clambda_1%7D%7B2%7D%5C%5C%5CRightarrow%20L_1%3D%5Cfrac%7B0.77727%7D%7B2%7D%5C%5C%5CRightarrow%20L_1%3D0.38863%5C%20m)
At v = 346 m/s
![\lambda_2=\frac{v_2}{f}\\\Rightarrow \lambda_2=\frac{346}{440}\\\Rightarrow \lambda_1=0.78636\ m](https://tex.z-dn.net/?f=%5Clambda_2%3D%5Cfrac%7Bv_2%7D%7Bf%7D%5C%5C%5CRightarrow%20%5Clambda_2%3D%5Cfrac%7B346%7D%7B440%7D%5C%5C%5CRightarrow%20%5Clambda_1%3D0.78636%5C%20m)
![L_2=\frac{\lambda_2}{2}\\\Rightarrow L_2=\frac{0.78636}{2}\\\Rightarrow L_2=0.39318\ m](https://tex.z-dn.net/?f=L_2%3D%5Cfrac%7B%5Clambda_2%7D%7B2%7D%5C%5C%5CRightarrow%20L_2%3D%5Cfrac%7B0.78636%7D%7B2%7D%5C%5C%5CRightarrow%20L_2%3D0.39318%5C%20m)
Difference in length is
![\Delta L=L_2-L_1\\\Rightarrow \Delta L=0.39318-0.38863\\\Rightarrow \Delta L=0.00455\ m=4.55\ mm](https://tex.z-dn.net/?f=%5CDelta%20L%3DL_2-L_1%5C%5C%5CRightarrow%20%5CDelta%20L%3D0.39318-0.38863%5C%5C%5CRightarrow%20%5CDelta%20L%3D0.00455%5C%20m%3D4.55%5C%20mm)
It extends to 4.55 mm