SOLUTION: Using the following formula: T = 7000 w/d^2 (1/v - 1/u) A projectile of weight w lbs. and diameter d in., with muzzle velocity of u ft. Determine velocity v, after T sec.

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Question 1197770: Using the following formula:
T = 7000 w/d^2 (1/v - 1/u)
A projectile of weight w lbs. and diameter d in., with muzzle velocity of u ft.
Determine velocity v, after T sec.
Unsure how to solve.

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52908)   (Show Source): You can put this solution on YOUR website!
.
Using the following formula:
T = 7000 w/d^2 (1/v - 1/u)
A projectile of weight w lbs. and diameter d in., with muzzle velocity of u ft.
Determine velocity v, after T sec.
Unsure how to solve.
~~~~~~~~~~~~~~~~~~~~~ 

They want you express "v" via other variables, using the given formula.


From  T = ,  you have, step by step


       -  = ,

       -  = 

       =  + 

      v   = .          (1)


      v   = .       (2)


It is just the formulas to use.  You may use any of these two formulas, (1) or (2), on your choice.

That's it.



Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

Using the following formula:
T = 7000 w/d^2 (1/v - 1/u)
A projectile of weight w lbs. and diameter d in., with muzzle velocity of u ft.
Determine velocity v, after T sec.
Unsure how to solve.


 ---- Cross-multiplying
 ---- Adding 7,000wv to both sides
 ---- Factoring out v on left side

 ----- Dividing both sides by  to get the value of v (velocity), in 
                                         terms of d (diameter), T (time, in seconds), u (muzzle velocity), and w (weight).
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