Calculus concrete and decibel calculation

1. Tools: For now you 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 100 concrete 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, 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

11. 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

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 your figures 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 this up for your task - but explain
in your own words what is going on .