Triangle ABE is similar to triangle ACD. What is the value of y in the diagram?
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Answer:
Same angular velocity
Same angular acceleration
Point 1 has greater tangential speed
Point 1 has greater tangential acceleration
Point 1 has greater centripetal acceleration
Step-by-step explanation:
Since both points are located on the rigid wheel, their angular velocity and acceleration must be the same for all point located on the wheel.
The tangential quantities, however, would depend on how far they are from the axis of rotation:
where are the angular velocity and acceleration, respectively, which is the same for 2 points. R is the radius of rotation. In this case point 1 has a larger radius since it lies on the rim and point 2 is only half way between.
Therefore, tangential speed, acceleration and centripetal acceleration of point 1 is larger than point 2.