How Much Does Temperature Increase When Drilling Copper?

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SUMMARY

The discussion focuses on calculating the temperature increase of a 0.100 kg piece of copper when drilled with a 40 W electric drill over 30 seconds. Using the equation Q = mcΔT, the energy transferred (Q) is calculated as 1200 J. The resulting temperature change (ΔT) is determined to be 31.01 degrees Celsius. This calculation assumes the drill itself does not experience a temperature increase.

PREREQUISITES
  • Understanding of the equation Q = mcΔT for heat transfer
  • Basic knowledge of power calculations (P = W/T)
  • Familiarity with units of energy (Joules)
  • Concept of specific heat capacity
NEXT STEPS
  • Research the specific heat capacity of copper for more accurate calculations
  • Explore the effects of different power levels on temperature change
  • Learn about thermal conductivity and its impact on drilling operations
  • Investigate the relationship between drill speed and heat generation
USEFUL FOR

Students in physics or engineering, mechanical engineers, and anyone involved in materials processing or thermal analysis in drilling applications.

petern
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[SOLVED] Find Change in Temperature

Homework Statement



An electric drill bores through a .100 kg piece of copper in 30 s. Find the increase in the temperature of the copper if the drill operates at 40 W. Assume that the drill does not increase in temperature.

Homework Equations



Q = mcT

The Attempt at a Solution



Can someone check to see if I'm doing this right?
I know the P = W/T so I would have to multiply T by Watts. I get 1200 J. I then rearrange Q = mcT to T = Q / mc. T = 31.01 degrees C.
 
Last edited:
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Remember that is [itex]\Delta T[/itex] the change in temperature. Your method looks ok to me.
 

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