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Done By: Mohammed Rashid-80223 Rashid Salem-80099 Mohammed Yousif-80078 Grade: 12 Section: 5-6.

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Presentation on theme: "Done By: Mohammed Rashid-80223 Rashid Salem-80099 Mohammed Yousif-80078 Grade: 12 Section: 5-6."— Presentation transcript:

1 Done By: Mohammed Rashid-80223 Rashid Salem-80099 Mohammed Yousif-80078 Grade: 12 Section: 5-6

2 Uses Of Calculus In Other sciences A 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 temperature 3. Cp = the specific heat.

3 Uses Of Calculus In Other sciences Example: Aluminum has a specific heat of 0.902 J/g x o C. How much heat is lost when a piece of aluminum with a mass of 23.984 g cools from a temperature of 415.0 o C to a temperature of 22.0 o C? Step 1: Write the original formula. q = m(DT)Cp

4 Uses Of Calculus In Other sciences Step 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 g DT = (415.0 o C - 22.0 o C) = 393.0 o C (remember, they asked for the change in temperature) Cp = 0.902 J/g x o C

5 Uses Of Calculus In Other sciences Step 3 : Substitute your values into the formula q = m(DT)Cp q = 23.984 g x 393.0 o C x 0.902 J/g x o C Step 4: Cross out units where possible, and solve for unknown. q = 23.984 g x 393.0 o C x 0.902 J/g x o C q = 8501.992224 J q = 8.50 x 10 3 J

6 I cant believe that we did it!


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