a wheel 0.6m in radius is moving with a speed of 10m/s at a time of 2 sec find the angular speed and angular acceleration
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Angular Speed = 16.67 rad/s
Angular Acceleration = 8.33 rad/s²
Given,
The radius of the wheel = 0.6 m
Speed of wheel = 10 m/s
Time = 2 seconds
To Find,
Angular Speed and Angular Acceleration
Solution,
We know the relation,
v = ω * r
where v is the speed of the object (wheel)
ω is the angular speed
and r is the radius of the object
Using this formula, we get
10 = ω * 0.6
ω =
ω = 16.67 rad/s
Now for angular acceleration, we can use the formula
αt = ω
where α is the angular acceleration
and t is the time
α * 2 = 16.67
α =
α = 8.33 rad/s²
Thus, angular speed and angular accelerations are 16.67 rad/s and 8.33 rad/s² respectively.
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