By rubbing the bottom of a 0.3 kg block with the adhesive and pushing it tightly to the turntable 0.4 metres from its base, a turntable is used to measure a deliberately poor adhesive. The turntable begins at t=0 and accelerates uniformly with an angular acceleration of a= 4.5 rad/s2. Determine what to do if the adhesive breaks precisely 2 seconds after the turntable begins rotating: (a) The turntable's angular displacement at the moment of failure. (b) At the moment of failure, the amount of revolutions the turntable had produced. (c) The overall shear force that the adhesive will withstand in the event of a breakdown.

By rubbing the bottom of a 0.3 kg block with the adhesive and pushing it tightly to the turntable 0.4 metres from its base, a turntable is used to measure a deliberately poor adhesive. The turntable begins at t=0 and accelerates uniformly with an angular acceleration of a= 4.5 rad/s2. Determine what to do if the adhesive breaks precisely 2 seconds after the turntable begins rotating: (a) The turntable's angular displacement at the moment of failure. (b) At the moment of failure, the amount of revolutions the turntable had produced. (c) The overall shear force that the adhesive will withstand in the event of a breakdown.

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Question

(a) The turntable's angular displacement at the moment of failure.

(b) At the moment of failure, the amount of revolutions the turntable had produced.

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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