An object with radius = 80 cm, starts from rest and rotates through
an angle of 900 degrees in 2 minutes.
Determine the angular displacement, in radians (use pi = 3.14, answer to 1 decimal place)

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oladayoademosu oladayoademosu · Answer 1 · 2022-01-31T14:37:02+01:00

The angular displacement in radians is 15.7 radians.

The angular displacement of the object Δθ = θ - θ₀ where

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

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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