The hoop is cast on the rough surface such that it has an angular velocity ω=4 rad/s and an angular acceleration α=5 rad/s2. Also, its center has a velocity of vO=5 m/s and a deceleration aO=2 m/s2. Determine the magnitude of the acceleration of point B and its direction angle measured CCW from the x positive axis Select one:A. aB=5.04 m/s2; and θ=170.31∘ B. aB=7.81 m/s2; and θ=162.62∘ C. aB=9.29 m/s2; and θ=151.34∘ D. aB=6.86 m/s2; and θ=160.12∘ The hoop is cast on the rough surface such that it has an angular velocity o = 4 rad/s and an angular accelerationa = 5 rad/s?. Also, its center has a velocity of vo = 5 m/s and a deceleration ao = 2 m/s?. Determine the magnitude of theacceleration of point B and its direction angle measured CCW from the x positive axis.4Yaovo/45°0.3 mBSelect one:O A. ag = 5.04 m/s?; and 0 = 170.31°O B. ag = 7.81 m/s?; and 0 = 162.62O C. ag = 9.29 m/s²; and 0 = 151.34°O D. ag = 6.86 m/s²; and 0 = 160.12*%3D

Let r denotes the radius of the hoop which is given as 0.3 m. Let at and ac denotes the tangential…

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The hoop is cast on the rough surface such that it has an angular velocity ω=4 rad/s and an angular acceleration α=5 rad/s2. Also, its center has a velocity of vO=5 m/s and a deceleration aO=2 m/s2. Determine the magnitude of the acceleration of point B and its direction angle measured CCW from the x positive axis Select one: A. aB=5.04 m/s2; and θ=170.31∘ B. aB=7.81 m/s2; and θ=162.62∘ C. aB=9.29 m/s2; and θ=151.34∘ D. aB=6.86 m/s2; and θ=160.12∘

The hoop is cast on the rough surface such that it has an angular velocity o = 4 rad/s and an angular acceleration
a = 5 rad/s?. Also, its center has a velocity of vo = 5 m/s and a deceleration ao = 2 m/s?. Determine the magnitude of the
acceleration of point B and its direction angle measured CCW from the x positive axis.
4Y
ao
vo
/45°
0.3 m
B
Select one:
O A. ag = 5.04 m/s?; and 0 = 170.31°
O B. ag = 7.81 m/s?; and 0 = 162.62
O C. ag = 9.29 m/s²; and 0 = 151.34°
O D. ag = 6.86 m/s²; and 0 = 160.12*
%3D

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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