The Tanker weighs 550 X 10^6 lb. and is traveling 2 ft/s in still water when eng

Question

The Tanker weighs 550 X 10^6 lb. and is traveling 2 ft/s in still water when engines stop. Drag resistance in lbs. at any instant is Fd=230 X 10^3v, where v is in ft/s. Determine (a) the time needed for the speed to be 1 ft/s and (b) the stopping distance.

(a) time =_____________________                  (b) distance=________________

The Tanker weighs 550 X 10^6 lb. and is traveling 2 ft/s in still water when engines stop. Drag resistance in lbs. at any instant is Fd=230 X 10^3v, where v is in ft/s. Determine (a) the time needed for the speed to be 1 ft/s and (b) the stopping distance. time =_____________________ distance=________________

Explanation / Answer

1. a = Fd/m = 4.182*10^-4*v

dv/dt = -4.182*10^-4*v

ln v = -4.182*10^-4*t + ln 2

t = ln(2/v) /4.182*10^-4

For v = 1

t = ln(2) /4.182*10^-4

= 1657.45 secs

= 27.62 mins

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