When you stand 1 meter away from the loudspeakers for a rock band, it is just...

When you stand 1 meter away from the loudspeakers for a rock band, it is just on the threshold of pain (approximately 120 dB). How far away should you stand to reduce the sound intensity level to 60 dB, equivalent to an everyday normal conversation?

Solutions

Expert Solution

Loudness of sound 1m away from the loudspeaker = ₁ = 120 dB

Distance from the loudspeaker = R₁ = 1m

Intensity of sound of 120dB = I₁

I₁ = 1 W/m²

New distance from the loudspeaker = R₂

Loudness of sound at 'R₂' distance from the loudspeaker = ₂ = 60 dB

Intensity of sound of 60dB = I₂

I₂ = 10^-6 W/m²

Power of sound from the loudspeaker = P

P = I₁(4R₁²) = I₂(4R₂²)

I₁(4R₁²) = I₂(4R₂²)

I₁R₁² = I₂R₂²

(1)(1)² = (10^-6)R₂²

R₂ = 1000 m

You should stand 1000m from the loudspeaker so that the sound intensity level is 60dB.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A 1 kg rock is hung from one end of a meter at the 0 cm...

A 1 kg rock is hung from one end of a meter at the 0 cm mark so that the meter is balanced as a balance when the filter is at the 25 cm mark. From this information, what is the mass of the meter?

Two loudspeakers 6.0 m apart are playing the same frequency. If you stand 10.0 m in...

Two loudspeakers 6.0 m apart are playing the same frequency. If you stand 10.0 m in front of the plane of the speakers, centered between them, you hear a sound of maximum intensity. As you walk parallel to the plane of the speakers, staying 10.0 m in front of them, you first hear a minimum of sound intensity when you are directly in front of one of the speakers. PART A What is the frequency of the sound? Assume a...

At a rock concert, a dB meter registered 135 dB when placed 2.2 m in front...

At a rock concert, a dB meter registered 135 dB when placed 2.2 m in front of a loudspeaker on the stage. 1) What was the power output of the speaker, assuming uniform spherical spreading of the sound and neglecting absorption in the air? 2) How far away would the sound level be a somewhat reasonable 95 dB?

At a rock concert, a dB meter registered 125 dB when placed 2.9 m in front...

At a rock concert, a dB meter registered 125 dB when placed 2.9 m in front of a loudspeaker on the stage. The intensity of the reference level required to determine the sound level is 1.0×10−12W/m2. A)What was the power output of the speaker, assuming uniform spherical spreading of the sound and neglecting absorption in the air? B) How far away would the sound level be 86 dB ?

At a rock concert, a dB meter registered 130 dB when placed 2.2 m in front...

At a rock concert, a dB meter registered 130 dB when placed 2.2 m in front of a loudspeaker on the stage. a. What was the power output of the speaker, assuming uniform spherical spreading of the sound and neglecting absorption in the air? b. How far away would the sound level be a somewhat reasonable 95 dB ? answer with units

suppose you throw a rock off a 35 meter cliff at an angle of 42 degrees...

suppose you throw a rock off a 35 meter cliff at an angle of 42 degrees above horizontal at a speed of 20 m/s. how far horizontally from the base of the cliff will the rock hit the ground below

1)what happens when you move the object further and further away from the converging lens and...

1)what happens when you move the object further and further away from the converging lens and the concave mirror. Where does the image move towards? 2) State what kind of lens or mirror is used, with the respective positions (relative to the focal point) of the object and the image, for each of the following cases: a) A dentist’s mirror b) Rearview mirror of a car c) A document magnifier d) A lens to project film onto a screen e)...

1. How is community health programming moving away from just focusing on individual health behavior, and...

1. How is community health programming moving away from just focusing on individual health behavior, and moving toward focusing on the behaviors of groups, communities, and populations? Give at least one specific example.

Question 1: When using a multimeter, what does it mean when the meter is on its...

Question 1: When using a multimeter, what does it mean when the meter is on its “best setting”? Question 2: When using a multimeter, why is it important to always check the meter to make sure that you are making a measurement on its best setting? Does this procedure of a “Best Setting” also apply to measurements of voltage and current? Question 3: When using a multimeter, which settings are the best for each resistor? How many digits are displayed...

1/ a/ How fast should a sound source move away from you if the frequency you...

1/ a/ How fast should a sound source move away from you if the frequency you perceive is equal to half the actual frequency? b/ The speed of sound in the air is 350 m / s. What would you hear if this sound source approached you?

Subjects