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60 m/s...........
.......
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Given :-
Angular Speed = w = 75 rad/s
radius of the wheel = r = 0.8 m
Now as we know a relationship,
v = wr (Here, v is the linear velocity).
v = (75 × 0.8)
v = 60 m/s
Some more information :-
1. In one rotation a body completes 2π rad distance.
2. In angle 2π = 2(180°) = 360°
Therefore, in one rotation a body rotates 2π rad or 360°.
3. Dimensional Formula of Angular Velocity = M⁰L⁰T-¹
Lets know how to calculate Dimensional formula of Angular Velocity.
As we know that,
v = wr
w = v/r
Dimensional Formula of v = L/T
w = L/T × L
w = M⁰L⁰T-¹
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