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Boss lesson · The Noise Survey
Exam-hall rules, one yard, one banksman
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Exam-hall rules, one yard, one banksman

This is the boss. No calculator. Tonight the two awkward constants are handed to you rounded, and every line is integer arithmetic: on hard ground the 1 m spreading term is exactly −8-8 dB (the true figure is −7.98-7.98), and every doubling of distance costs exactly 6 dB (the true figure is 6.02). Criterion 85 dBA, exchange 3 dB.

One yard, and every answer feeds the next: a nameplate power to a level at 1 m, 1 m out to where the man actually stands, one machine to two, and the level to the clock. Write each line down as you go — one slip at the top rolls all the way to the verdict.

Note what the last line asks for. It does not want another number; it wants a decision: may this stint go ahead as planned. The arithmetic exists only to earn you the right to make it. Watch for the trap the whole chapter has been building — the second machine adds only 3 dB, which sounds like nothing, and on a 3 dB exchange it is exactly one halving of the permitted hours.

A bonus mark waits on the way out, at the garden fence behind the yard. One more constant is handed over for it: a source that holds the same level day and night has a day–night level exactly 6.4 dB above that level (the true figure is 6.41). The cap there is written in LdnL_{dn}, so the meter reading alone settles nothing.

Everything in the chapter rides in this one yard. 5★ under par here is the chapter crown. Clock in.

LWQrLp

Lp=LW+10log⁡10 ⁣(Q4πr2)L_p = L_W + 10\log_{10}\!\left(\frac{Q}{4\pi r^{2}}\right)

  • LpL_p= Sound pressure level (sound level)
  • LWL_W= Sound power level (sound level)
  • QQ= Directivity factor
  • rr= Distance from source (length)
Sound Power Level to Sound Pressure Level solver →
L1L2r1r2

L2=L1−20log⁡10 ⁣(r2r1)L_2 = L_1 - 20\log_{10}\!\left(\frac{r_2}{r_1}\right)

  • L1L_1= Level at the near distance (sound level)
  • L2L_2= Level at the far distance (sound level)
  • r1r_1= Near distance (length)
  • r2r_2= Far distance (length)
Distance Attenuation from a Point Source solver →
L1L2Lt

Lt=10log⁡10 ⁣(10L1/10+10L2/10)L_t = 10\log_{10}\!\left(10^{L_1/10} + 10^{L_2/10}\right)

  • LtL_t= Combined level
  • L1L_1= Level of source 1
  • L2L_2= Level of source 2

each variable a sound level

Combining Sound Levels solver →
LLcqT

T=82(L−Lc)/qT = \frac{8}{2^{(L - L_c)/q}}

  • TT= Allowable exposure time (time)
  • LL= Exposure level (sound level)
  • LcL_c= Criterion level (sound level)
  • qq= Exchange rate (sound level)
Allowable Noise Exposure Time solver →
no calculator in the boss room — the numbers are chosen to fit in your head