Question

1. if \\(t_1 = 4\\), \\(s_1 = 5\\), and \\(s_2 = 2\\), determine the value of \\(t_2\\).

1. a transformer has a primary voltage of 480 volts and a secondary voltage of 120 volts. if the primary windings have 700 turns, how many turns are in the secondary windings? (voltage and number of turns are directly proportional.)

1. one wire has a cross-sectional area of 1,250 cmil and a resistance of 7 ohms. a second piece of wire, identical except for cross-sectional area, has a resistance of 10 ohms. determine what the cross-sectional area of this second wire is. (cross-sectional area and resistance are inversely proportional.)

1. a transformer has a secondary voltage of 140 volts and a secondary current of 3.5 amps. if the primary current is 10 amps, what is the primary voltage? (in this case, the voltages and currents are inversely proportional.)

1. if mary drove 525 miles in 7 hours at an average speed of 75 miles per hour, how much faster would her average speed need to be to make the trip in 5 hours (a little speed demon!)?

Explanation:

Question 17: Solve for \(t_2\) using inverse proportion

$$
LATEXBLOCK0
$$

Question 18: Solve for secondary windings using direct proportion

$$
LATEXBLOCK1
$$

Question 19: Solve for cross-sectional area using inverse proportion

$$
LATEXBLOCK2
$$

Question 20: Solve for primary voltage using inverse proportion

$$
LATEXBLOCK3
$$

Question 21: Solve for required speed increase

$$
LATEXBLOCK4
$$

Answer:

Question 17

\(t_2 = 10\)

Question 18

\(175\) turns

Question 19

\(875\text{ cmil}\)

Question 20

\(49\text{ volts}\)

Question 21

\(30\text{ mph}\)