Calculus concrete and decibel calculation


Published on

Calculus concrete and decibel calculation

  • Be the first to comment

  • Be the first to like this

No Downloads
Total views
On SlideShare
From Embeds
Number of Embeds
Embeds 0
No embeds

No notes for slide
  • Sound 05/02/2006 Lecture 10
  • Calculus concrete and decibel calculation

    1. 1. Tools: For now you will need…. Pen Paper Calculator Put bags under tables
    2. 2. Assignment taskAnalytical methods: trigonometrical techniques; calculus; calculusapplicationsCalculus: differentiation and integration of simple functionsCalculusAssessment criteria for pass : The learner can….LO4Be able to apply analytical methods to engineering problems4.2 solve engineering problems using calculus
    3. 3. More than 100 concrete trucks convene formassive pour at Four Seasons hotel Toronto
    4. 4.  120 cement trucks convened at six different pouring locations Co-ordination was crucial for Toronto’s largest residential concrete pour, which used 10,000 tons of concrete for the foundation. It took five months to plan the pouring process which required a construction crew of approximately 180 used 120 concrete trucks running simultaneously for 12 hours. 420 million pounds of concrete on the 1,250,000 square-foot project. Seven police officers positioned to control the flow of concrete and traffic Result = 55-storey building comprised of 253-rooms
    5. 5. On site, concrete for the foundations is being unloaded onto aconical pile at a rate of 200 cubic feet per minute. As theconcrete is poured it is confined close to where it is to be laid.The concrete pile remains cone-shaped and its height is alwaysequal to the radius of the cone’s base. Use calculus to show howfast the height of the pile is increasing when it is 18 feet tall.P4.2
    6. 6. Assignment taskCalculate the Sound Pressure Level (SPL) in decibels (dB) of aPercussion drill 3 metres away with a sound power output of 50watts (M) Take careful notes especially when you see red text  The satandard formula for the Area of hemisphere = 2 π r² (here the radius is 3)  I2 = Sound Power ÷ Surface area  this is called…  Sound intensity (think power of speaker over area –small area is intense power) 11
    7. 7.  formula... Now we need I 2… To find the decibels ,dB At the end We use 10 Log (I 2÷ I 1 )I1 is 10 -12 ( a dead small number – the s malles t s ound we can hear ) 12
    8. 8. Now put your figures into theformula
    9. 9.  From the calculator I 2 = 0.884 So then DB = 10 Log (0.884 / 10 ^-12 ) DB = (put this into the calculator to find the answer) 10 Log (0.884 / 10 ^-12 ) = Decibels = 120dB
    10. 10.  Type this up for your task - but explain in your own words what is going on .