Problema Solution
If a car traveling at a speed of 60 mph with a surface area of 34 ft2 experiences a drag of 244.8 N (Newtons), how fast must a car with 48 ft2 of surface area travel in order to experience a drag force of 368.64 N?
Answer provided by our tutors
Atmospheric drag varies jointly as an object's surface area A and velocity v thus we can write:
C*60*34 = 244.8, where C is constant
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C = 0.12
We need to find v such that:
C*v*48 = 368.64
Plug C = 0.12 and solve for v:
0.12*v*48 = 368.64
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click here to see the equation solved for v
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v = 64 mph
The car's speed must be 64 mph.