How Many Machines Must Be Removed to Meet Workplace Sound Regulations?

Click For Summary
SUMMARY

The discussion centers on compliance with US workplace sound regulations, specifically the maximum allowable sound intensity level of 90.0 dB. A factory with 32 identical machines producing a sound intensity of 92.0 dB must reduce the number of machines to meet this regulation. Calculations indicate that approximately 12 machines need to be removed to achieve compliance, although the provided answer options do not include this result. The correct approach involves logarithmic calculations to determine the relationship between sound intensity and the number of machines.

PREREQUISITES
  • Understanding of sound intensity levels and decibels (dB)
  • Basic knowledge of logarithmic functions
  • Familiarity with workplace safety regulations
  • Ability to perform calculations involving ratios and proportions
NEXT STEPS
  • Study the principles of sound intensity and decibel calculations
  • Learn about workplace safety regulations regarding noise levels
  • Explore logarithmic equations and their applications in real-world scenarios
  • Investigate methods for reducing noise in industrial settings
USEFUL FOR

Safety officers, industrial engineers, factory managers, and anyone involved in workplace compliance with sound regulations will benefit from this discussion.

tics
Messages
15
Reaction score
0
Accoding to US government regulations, the maximum sound intensity levels in the workplace is 90,0 dB. Within one factory, 32 ihdentical machines produce a sound intensity level of 92,0 dB. How many machines must be removed to bring the factory into compliance with the regulation?

Possible answers:
a) 2
b) 8
c) 16
d) 24
 
Physics news on Phys.org
You need to show us some of your thoughts and effort put into this proplem.
 
tics said:
Accoding to US government regulations, the maximum sound intensity levels in the workplace is 90,0 dB. Within one factory, 32 ihdentical machines produce a sound intensity level of 92,0 dB. How many machines must be removed to bring the factory into compliance with the regulation?

Possible answers:
a) 2
b) 8
c) 16
d) 24

My attempt:

β_1=90.0 dB,β_2=92.0 dB
B2-B1= 10log(I1/I0)-10log(I2/I0)
=10log(I2/I0/I1/I0)
=10log(I2/I1)
0.2 =log(I2/I1)
Therefore: I2/I1=10^(0.2)= 1.58
32 machines/1.58 ≈20
The number of machines that must be removed is 32-20=12
Is that right?
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
5
Views
6K
Replies
5
Views
2K
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 19 ·
Replies
19
Views
5K
  • · Replies 23 ·
Replies
23
Views
6K
  • · Replies 38 ·
2
Replies
38
Views
7K