Angular Speed = (final angle - initial angle)/(time)
Angular Speed = ω = (ΔФ)/Δ.t [ Ф in Radian and t in second]
To ease calculation let's convert 60 mi/h into in/second
a) 1 mi = 63,360 in and 1 hour = 3600 seconds
b) 60 mi/h EQUIVALENT to (60 x 63,360)/3600
c) Speed of the truck in in/s = 1,056 in/s
d) Circumference of wheel = 2π.R = 2π.(16) = 32.π
e) Time need to travel 32.π (=100.53 in) → 100.53/1,056 = 0.095 second
f) Δ.Ф (after one revolution) = 2π - 0 → Ф = 2π
g) Now we can calculate ω, the angular speed:
ω =(ΔΘ)/Δ.t → 2π/0.095 → w = 66.14 Radian/Second
