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Calculus Project

Calculus Project. Done By: Mohammed Rashid-80223 Rashid Salem-80099 Mohammed Yousif -80078 Grade: 12 Section: 5-6. Uses Of Calculus In Other sciences.

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Calculus Project

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  1. Calculus Project 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 : • q = heat transferred, • DT = the change in temperature • Cp = the specific heat.

  3. Uses Of Calculus In Other sciences • Example: Aluminum has a specific heat of 0.902 J/gxoC.   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

  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 gDT = (415.0 oC - 22.0oC) = 393.0 oC (remember, they asked for the change in temperature)Cp =  0.902 J/gxoC

  5. Uses Of Calculus In Other sciences • Step 3 : Substitute your values into the formula q = m(DT)Cp q = 23.984 gx 393.0 oCx 0.902 J/gxoC • Step 4: Cross out units where possible, and solve for unknown. q = 23.984 gx 393.0 oCx 0.902 J/gxoC q = 8501.992224 J q = 8.50 x 103 J

  6. I cant believe that we did it!

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