The angular displacement of a rotating object can be calculated using the equation:

θ = ω₀t + 0.5αt²

where:
θ is the angular displacement,
ω₀ is the initial angular velocity,
t is the time, and
α is the angular acceleration.

In this case, the wheel starts from rest, so the initial angular velocity (ω₀) is 0. The time (t) is 2 seconds, and the angular acceleration (α) is 0.5 radian/sec².

Substituting these values into the equation gives:

θ = 0*2 + 0.5*0.5*2²
θ = 0 + 0.5*0.5*4
θ = 0 + 0.5*2
θ = 1 radian

So, the angular displacement of the point after 2 seconds is 1 radian. The correct answer is D. 1 radian.

Question

The angular displacement of a rotating object can be calculated using the equation:

θ = ω₀t + 0.5αt²

where:
θ is the angular displacement,
ω₀ is the initial angular velocity,
t is the time, and
α is the angular acceleration.

In this case, the wheel starts from rest, so the initial angular velocity (ω₀) is 0. The time (t) is 2 seconds, and the angular acceleration (α) is 0.5 radian/sec².

Substituting these values into the equation gives:

θ = 0*2 + 0.5*0.5*2²
θ = 0 + 0.5*0.5*4
θ = 0 + 0.5*2
θ = 1 radian

So, the angular displacement of the point after 2 seconds is 1 radian. The correct answer is D. 1 radian.

Knowee AI · Accepted Answer

The angular displacement of a rotating object can be calculated using the equation:

θ = ω₀t + 0.5αt²

where:
θ is the angular displacement,
ω₀ is the initial angular velocity,
t is the time, and
α is the angular acceleration.

In this case, the wheel starts from rest, so the initial angular velocity (ω₀) is 0. The time (t) is 2 seconds, and the angular acceleration (α) is 0.5 radian/sec².

Substituting these values into the equation gives:

θ = 0*2 + 0.5*0.5*2²
θ = 0 + 0.5*0.5*4
θ = 0 + 0.5*2
θ = 1 radian

So, the angular displacement of the point after 2 seconds is 1 radian. The correct answer is D. 1 radian.

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