Calculus Project

Done By: Mohammed Rashid-80223 Rashid Salem-80099 Mohammed Yousif-80078

Grade: 12Section: 5-6

Uses Of Calculus In Other sciencesA Mechanical Engineer Uses calculus in his job like (

Differential Calculus, Integral Calculus, Multivariable Calculus).

My example will be about mechanical engineer Heat transfer calculations.

For Heat transfer calculations they use q = m(DT)Cp

Where :1. q = heat transferred, 2. DT = the change in temperature3. Cp = the specific heat.

Uses Of Calculus In Other sciencesExample:Aluminum has a specific heat of 0.902 J/g x oC.  

How much heat is lost when a piece of aluminum with a mass of 23.984 g cools from a temperature of 415.0 oC to a temperature of 22.0 oC?

Step 1:  Write the original formula. q = m(DT)Cp

Uses Of Calculus In Other sciencesStep 2:  List the known and unknown

factors.   Looking at the units in the word problem will help you determine which is which.

q = ?m = 23.984 gDT = (415.0 oC - 22.0 oC) = 393.0 oC    

(remember, they asked for the change in temperature)Cp =  0.902 J/g x oC

Uses Of Calculus In Other sciencesStep 3 : Substitute your values into the

formula q = m(DT)Cpq = 23.984 g x 393.0 oC x 0.902 J/g x oC

Step 4: Cross out units where possible, and solve for unknown.

q = 23.984 g x 393.0 oC x 0.902 J/g x oCq = 8501.992224 Jq = 8.50 x 103 J

I cant believe that we did it!