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
