Sound intensity is measured on a logarithmic scale

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SUMMARY

Sound intensity is measured on a logarithmic scale due to the vast range of human hearing, which spans from the faintest sound to extremely loud noises. This logarithmic representation allows for a more manageable numerical scale, where sound intensity levels are expressed in decibels (dB). For instance, a lightning strike produces thunder at 130 dB at a distance of 10 meters, which corresponds to an intensity of approximately 0.00002 watts per centimeter². The intensity decreases with distance, and at 100 meters, it is significantly lower, illustrating why thunder is rarely heard beyond 10 miles.

PREREQUISITES
  • Understanding of logarithmic scales and their applications in physics.
  • Knowledge of sound intensity and decibel levels.
  • Familiarity with basic physics concepts such as force, area, and power.
  • Ability to apply formulas related to sound intensity and air drag.
NEXT STEPS
  • Research the formula for sound intensity in relation to distance from the source.
  • Learn about the relationship between sound intensity and decibel levels.
  • Explore the physics of air drag and its impact on cycling performance.
  • Investigate the effects of environmental factors on sound propagation.
USEFUL FOR

Students in physics, audio engineers, meteorologists, and anyone interested in understanding sound dynamics and environmental effects on sound propagation.

matt23
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Help please!

Here is the prob and i don't not know where or how to begin.

1.Jose was having a really bad day out on the bike. He should have checked the forecast. First, the wind coming out of nowhere. Must have been a steady 30 mph with gusts up to 50, head on. Then the lightning. First 1 km away, then 100 m away, then just 10 meters. Scary. Then the hail. First the size of a pea, then the size of a golf ball, then the size of a baseball!

Find a formula for the amount of force per unit area coming from wind blowing at a speed of S miles
per hour. As a result, supposing that a cyclist has an exposed area of 0:5 meter2, nd how much power
(in watts) the cyclist must put out to maintain a speed of 10 mph into a headwind of 10, 20, and 30 miles per hour.The top professional cyclists can produce up to a kilowatt of power in short bursts. What would this equate to in wind speed?


And the second prob is:
Sound intensity is measured on a logarithmic scale. Explain why this is the case. Find a gure for the sound intensity (in watts per centimeter2) for a person in close proximity to a lightning strike. Then give a formula for the sound intensity of the same strike when the person is R meters from the lighting strike. If a lightning bolt produces thunder at 130 dB at 10 meters, what is the intensity at 100 m? At 1 km? Can you explain why thunder is rarely heard at a distance more than 10 miles?
 
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matt23 said:
Here is the prob and i don't not know where or how to begin.

1.Jose was having a really bad day out on the bike. He should have checked the forecast. First, the wind coming out of nowhere. Must have been a steady 30 mph with gusts up to 50, head on. Then the lightning. First 1 km away, then 100 m away, then just 10 meters. Scary. Then the hail. First the size of a pea, then the size of a golf ball, then the size of a baseball!

Find a formula for the amount of force per unit area coming from wind blowing at a speed of S miles
per hour. As a result, supposing that a cyclist has an exposed area of 0:5 meter2, nd how much power
(in watts) the cyclist must put out to maintain a speed of 10 mph into a headwind of 10, 20, and 30 miles per hour.The top professional cyclists can produce up to a kilowatt of power in short bursts. What would this equate to in wind speed?

What is the equation for the force of air drag?

And the second prob is:
Sound intensity is measured on a logarithmic scale. Explain why this is the case. Find a gure for the sound intensity (in watts per centimeter2) for a person in close proximity to a lightning strike. Then give a formula for the sound intensity of the same strike when the person is R meters from the lighting strike. If a lightning bolt produces thunder at 130 dB at 10 meters, what is the intensity at 100 m? At 1 km? Can you explain why thunder is rarely heard at a distance more than 10 miles?

What is the equation for sound intensity?
 

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