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Lecture

MAT136H1 Lecture Notes - Metric System


Department
Mathematics
Course Code
MAT136H1
Professor
all

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6.4 Integral Applications
Work: Overview
Force
   , where    
If the acceleration is constant, then force is constant also.
Units are always important.
Force is in newton where      from     
.
In the US metric system, unit for force is in pound (lb). In the International metric system, water density is
. In the US metric system, it is . Since the denominator unit represents volume, it must
be multiplied by the volume of the matching unit to get the force.
Work
   
Total work done to move an object over the distance of   is expressed as:
   
  
. Given the force function of , work represents the area under
the curve . If force is in newton and distance in meters, work is in newton-meter (ie. Joule) from
   . In the US metric system, work is in foot-pound  .
Hooke’s Law
Force needed to stretch a spring by units beyond its natural length:     , where is the spring
constant of positive value. Springs are small in size, so the lengths are usually given in cm or inches. When the
force is given in and work in , or  and  , convert to appropriate units to match with force and work
units. Inch to foot conversion rate is   .
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