During their physics field trip to the amusement park, tyler and maria took a rider on the whirligig. the whirligig ride consists of long swings which spin in a circle at relatively high speeds. as part of their lab, tyler and maria estimate that the riders travel through a circle with a radius of 6.5 m and make one turn every 5.8 seconds. determine the speed of the riders on the whirligig.

The speed will be 7.04 m/s.

Explanation:

Radius of the circle = r = 6.5 m/s  

Time taken for every turn = t = 5.8 s  

Distance covered by the rider = s = Circumference of circle = 2πr = 2π(6.5)  = 40.84 m

Speed is defined as:

Speed = v = distance covered/time = S/t = 40.84/5.8 = 7.04 m/s

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