Tools: For now you will need…. Tools: For now you will need….

PenPen

PaperPaper

CalculatorCalculator

Put bags under tablesPut bags under tables

Assignment task Assignment task

Analytical methods: trigonometrical techniques; calculuscalculus; applications

CalculusCalculus: differentiation and integration of simple functions

Assessment criteria for pass : The learner can….

LO4LO4Be able to apply analytical methods to engineering problems

4.24.2 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 On site, concrete for the foundations is being unloaded onto a conical pile at a rate of 200 cubic feet per minute. As the 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. 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 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 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. fast the height of the pile is increasing when it is 18 feet tall. P4.2P4.2

Take careful notes especially Take careful notes especially when you see red text when you see red text

The satandard formula for the Area of The satandard formula for the Area of hemisphere = 2hemisphere = 2 ππ r² r² (here the radius is 3)(here the radius is 3)

II 22 = Sound Power ÷ Surface area = Sound Power ÷ Surface area this is called…this is called… Sound intensity Sound intensity (think power of speaker over area –small area is intense (think power of speaker over area –small area is intense

power)power) 11

Assignment task 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)

formula...formula...

Now we need INow we need I 2…2… To find the decibels ,dB To find the decibels ,dB

At the end We use At the end We use 10 Log (I(I 2 ÷ 2 ÷ II 11 ))

II 1 1 is 10 is 10 - 1 2 - 1 2 ( a d e a d s m a l l n u mb er – t h e s ma l l e s t s o u n d w e c a n h e a r )( a d e a d s m a l l n u mb e r – t h e s ma l l es t s ou n d w e c a n h e a r )

12

Now put your figures into the Now put your figures into the formulaformula

From the calculator IFrom the calculator I 2 2 = 0.884 = 0.884 So then So then DB = 10 Log (0.884 / 10DB = 10 Log (0.884 / 10 ^ - 12^ - 12 ))

DBDB = = (put this into the calculator to f ind the answer) (put this into the calculator to f ind the answer)

10 Log (0.884 / 1010 Log (0.884 / 10 ^ - 12^ - 12 ) =) =

Decibels = 120dBDecibels = 120dB

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