Wind resistance is jointly proportional to velocity and surface area of the object.

Question

If an object is traveling 36 mph and has a surface area of 47 square feet it will experience a wind resistance of 380.7 Newtons. How fast must an object be moving to experience a wind resistance of 366.3 Newtons if it has a surface area of 44 square feet?

Answer 1

R = kVS

 

380.7 = k(36)(47)   So, k = 0.225

 

So, if R = 366.3 and S = 44, we have 366.3 = (0.225)(V)(44)

 

                                                             V = 37 mph