Tools: For now you will need….
              Pen

             Paper

          Calculator
       Put bags under tables
Assignment task

Analytical methods: trigonometrical techniques; calculus;
                                                calculus
applications

Calculus: differentiation and integration of simple functions
Calculus



Assessment criteria for pass : The learner can….

LO4
Be able to apply analytical methods to engineering problems

4.2 solve engineering problems using calculus
More than 100 concrete trucks convene for
massive pour at Four Seasons hotel Toronto
   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
On site, concrete for the foundations is being unloaded onto a
conical pile at a rate of 200 cubic feet per minute. As the
concrete is poured it is confined close to where it is to be laid.

The concrete pile remains cone-shaped and its height is always
equal to the radius of the cone’s base. Use calculus to show how
fast the height of the pile is increasing when it is 18 feet tall.
P4.2
Assignment task
Calculate the Sound Pressure Level (SPL) in decibels (dB) of a
Percussion drill 3 metres away with a sound power output of 50
watts (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
    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
Now put your figures into the
formula
 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
 Type this up for your task - but explain
 in your own words what is going on .

Calculus concrete and decibel calculation

  • 1.
    Tools: For nowyou will need…. Pen Paper Calculator Put bags under tables
  • 2.
    Assignment task Analytical methods:trigonometrical techniques; calculus; calculus applications Calculus: differentiation and integration of simple functions Calculus Assessment criteria for pass : The learner can…. LO4 Be able to apply analytical methods to engineering problems 4.2 solve engineering problems using calculus
  • 3.
    More than 100concrete trucks convene for massive pour at Four Seasons hotel Toronto
  • 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.
    On site, concretefor the foundations is being unloaded onto a conical pile at a rate of 200 cubic feet per minute. As the concrete is poured it is confined close to where it is to be laid. The concrete pile remains cone-shaped and its height is always equal to the radius of the cone’s base. Use calculus to show how fast the height of the pile is increasing when it is 18 feet tall. P4.2
  • 11.
    Assignment task Calculate theSound Pressure Level (SPL) in decibels (dB) of a Percussion drill 3 metres away with a sound power output of 50 watts (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
  • 12.
    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
  • 13.
    Now put yourfigures into the formula
  • 14.
     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
  • 15.
     Type thisup for your task - but explain in your own words what is going on .

Editor's Notes

  • #3 Sound 05/02/2006 Lecture 10