A door stopper spring is held at an angle from its equilibrium position and then released and the angular velocity of the plastic end is given by the function: w(t)=3e-0.2t cos(7t) 1. Find it's angular acceleration function a(t) 2. Find it's angular displacement function theta(t), assuming theta(0)=0 3. If the rational motion is confined to the xy plane what is the direction of the acceleration at t=0

A door stopper spring is held at an angle from its equilibrium position and then released and the angular velocity of the plastic end is given by the function: w(t)=3e-0.2t cos(7t) 1. Find it's angular acceleration function a(t) 2. Find it's angular displacement function theta(t), assuming theta(0)=0 3. If the rational motion is confined to the xy plane what is the direction of the acceleration at t=0

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Question

A door stopper spring is held at an angle from its equilibrium position and then released and the angular velocity of the plastic end is given by the function:

w(t)=3e^-0.2tcos(7t)

1. Find it's angular acceleration function a(t)

2. Find it's angular displacement function theta(t), assuming theta(0)=0

3. If the rational motion is confined to the xy plane what is the direction of the acceleration at t=0

Definition Definition Angle at which a point rotates around a specific axis or center in a given direction. Angular displacement is a vector quantity and has both magnitude and direction. The angle built by an object from its rest point to endpoint created by rotational motion is known as angular displacement. Angular displacement is denoted by θ, and the S.I. unit of angular displacement is radian or rad.

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