Given: g = 9.8 m/s 2 . a small glass of water is placed on carousel inside a microwave oven, at a radius 6.5 cm from the center. the carousel rotates steadily, tuning through one revolution every 9.3 s. what angle does the water surface make with the horizontal? answer in units of ◦ .

0.17 degrees

Explanation:

From the question we are given the following:

acceleration due to gravity =

radius (r) = 6.5 cm = 0.065 m

time (s) = 9.3 s

angle = ?

         circumference = 2 x π x r = 2 x π x 0.065 = 0.408 m

            speed =

                         =   = 0.044

         a =

              = = 0.03

being a vector quantity, acceleration has direction, the centripetal acceleration is the x component while the y component would be the acceleration due to gravity (g)

A = 0.03 x + 9.8 y

to find the angle we can apply tan θ =

     θ  = 0.17 degrees

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