The initial angular velocity of the wheel would be 15.5 rad/s
What is Velocity?
The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object. The unit of velocity is meter/second.
The relation between the linear velocity and the angular velocity
V= ωr
as given the initial linear velocity is 8.22 m/s
the radius of the wheel is 0.530 m
By substituting the value of the linear velocity and the radius
8.22 = 0.530ω
ω = 8.22/0.530
ω = 15.5 rad/s
Thus, the initial angular velocity of the wheel comes out to be 15.5 rad/s
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