Respuesta :
Answer:
a) i) 0.18cm ii) 0.09cm iii) 0.045cm b) 0.96s c) v= 594 m/s a= 8.2*10⁵ m²/s
Explanation:
a) We have to find the amplitude at distance of i) 40 cm ii) 20 cm iii) 10 cm.
Now, the amplitude is related to frequency by relation
Distance= Amplitude * Frequency
The frequency given = 220 Hz
So for
i) 40= Amplitude * 220 Hz
Amplitude= [tex]\frac{40}{220}[/tex]= 0.18 cm
ii) 20= Amplitude * 220 Hz
Amplitude= [tex]\frac{20}{220}[/tex]= 0.09 cm
iii) 10= Amplitude * 220 Hz
Amplitude= [tex]\frac{10}{220}[/tex]= 0.045 cm
b) Wavelength= Velocity/ Frequency
Wavelength= 195/220 = 0.89m
To find the time from its upward largest displacement to downard largest displacement. We multiply the amplitude by 2 and divide by wavelength
T= 2*0.43/0.89
T= 0.96 s
c) To find the maximum transverse velocity it is equal to angular velocity times amplitude
So Velocity= [tex]2\pi f*0.43[/tex]= [tex]2\pi (220)(0.43)[/tex] = 594 m/s
Acceleration is transverse velocity times angular velocity= [tex]2\pi f*543[/tex]= [tex]2\pi (220)(594)[/tex]= 8.2*10⁵ m²/s
- The correct answer is a) i) 0.18cm ii) 0.09cm iii) 0.045cm b) 0.96s c) v= 594 m/s a= 8.2*10⁵ m²/s
a) When We have to find the amplitude at a distance of
- (i) 40 cm ii) 20 cm iii) 10 cm.
- Now, the amplitude is related to frequency by relation
- Distance= Amplitude * Frequency
- The frequency is given = 220 Hz
- So for
- i) 40= Amplitude * 220 Hz
- Amplitude= 40/220 = 0.18 cm
- ii) 20= Amplitude * 220 Hz
- Amplitude= 20/220 = 0.09 cm
- iii) 10= Amplitude * 220 Hz
- Amplitude= 10/220 = 0.045 cm
b) When Wavelength= Velocity/ Frequency
- Wavelength= 195/220 = 0.89m
- When To find the time from its upward largest displacement to downward largest displacement. also When We multiply the amplitude by 2 and also divide by wavelength
- T= 2*0.43/0.89
- T= 0.96 s
c) When find the maximum transverse velocity it is equal to angular velocity times amplitude
- So Velocity= 2π f * 0.43 = 2π (220)(0.43) = 594 m/s
- Acceleration is transverse velocity times angular velocity= 2π f *543 = 2π(220)(594) = 8.2*10⁵ m²/s
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