SOLUTION: Using k as the constant of variation, write the equation of variation for each following. 1. The current l varies directly as the electromotive force E and inversely as as the r

Algebra ->  Test -> SOLUTION: Using k as the constant of variation, write the equation of variation for each following. 1. The current l varies directly as the electromotive force E and inversely as as the r      Log On


   



Question 1176752: Using k as the constant of variation, write the equation of variation for each following.
1. The current l varies directly as the electromotive force E and inversely as as the resistance R.
2. The acceleration a of an object varies directly as the force f exerted and inversely as it's mass m.
3. The stiffness s of a beam varies directly as it's depth d and inversely as the square of the length l.
4. The time t required for an elevator to lift a weight varies directly with the distance d through which it is to be lifted and inversely with the power p of the motor.
5. The force f of attraction between two bodies varies directly as the product of their weights w and inversely as the square of the distance d between them.
6. The electrical resistance R of wire varies directly as it's length l and inversely as the square of its diameter d.
7. The acceleration A of a moving objects varies directly as the distance d inversely as the square of the time t.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
1. The current l varies directly as the electromotive force E and inversely as as the resistance R.
+I+=+k%28E%2FR%29
2. The acceleration a of an object varies directly as the force f exerted and inversely as it's mass m.
+a+=+k%28f%2Fm%29

3. The stiffness s of a beam varies directly as it's depth d and inversely as the square of the length l.
+s+=+k%28d%2Fl%5E2%29

4. The time t required for an elevator to lift a weight varies directly with the distance d through which it is to be lifted and inversely with the power p of the motor.
5. The force f of attraction between two bodies varies directly as the product of their weights w and inversely as the square of the distance d between them.
+f+=+k%28w1.w2%2Fd%5E2%29
You do the rest

6. The electrical resistance R of wire varies directly as it's length l and inversely as the square of its diameter d.
7. The acceleration A of a moving objects varies directly as the distance d inversely as the square of the time t.