Answer :
Answer:
The angular speed of the wheel is 0.452 rad/s
Explanation:
The angle through which the car wheel turns, Δθ = 277° = 277/360 × 2·π radian
The time it takes for the car wheel to turn, Δt = 10.7 s
The angular speed, ω is given by the following equation;
[tex]Angular \ speed = \dfrac{Change \ in \ angular \ rotation }{Change \ in \ time} = \dfrac{\Delta \theta}{\Delta t}[/tex]
Substituting the known values for Δθ and Δt gives;
[tex]Angular \ speed = \dfrac{\dfrac{277 ^{\circ}}{360 ^{\circ } } \times 2 \times \pi \ radian}{10.7 \ seconds} \approx 0.452 \ rad/s[/tex]
The angular speed of the wheel = 0.452 rad/s