The transformer supplying power to an artist's light sculpture provides 9600-V AC when supplied by 120-V AC. If there are 100 turns in the transformer's primary coil, how many turns are there in its secondary coil

1.25 turns

Explanation:

From Transformer equation,

Ns/Np = Vs/Vp Equation 1

Where Ns = Secondary turns, Np = Primary turns, Vs = secondary Voltage, Vp = Primary Voltage.

make Ns the subject of the equation  1

Ns = NpVs/Vp Equation 2

Given: Np = 100 turns, Vp = 120 V, Vs = 9600 V

Substitute into equation 2

Ns = 100(120)/9600

Ns = 1.25  turns.

Hence the are 1.25 turns in the  secondary coil = 1.25 turns

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day