The angular displacement in radians is 15.7 radians.
Angular displacement
The angular displacement of the object Δθ = θ - θ₀ where
- θ = final position of the object and
- θ₀ = initial position of the object.
Now since the object moves 900 degrees in 2 minutes, we convert this displacement to radians, since this is its final position.
So, θ = 900° = 900° × 2π/360°
= 90 × 2π/36
= 15 × 2π/6
= 5 × 2π/2
= 5π rad
Since the object starts from rest, θ₀ = 0 rad
The angular displacement, Δθ
So, the angular displacement, Δθ = θ - θ₀
Substituting the values of the variables into the equation, we have
Δθ = θ - θ₀
Δθ = 5π - 0
Δθ = 5π
Δθ = 5 × 3.14
Δθ = 15.7 radians
So, the angular displacement in radians is 15.7 radians.
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