A purse at radius 1.90 m and a wallet at radius 2.85 m travel in uniform circular motion on the floor of a merry-go-round as the ride turns. They are on the same radial line. At one instant, the acceleration of the purse is (1.80 m/s² )i + (3.70 m/s2 ). At that instant and in unit-vector notation, what is the acceleration of the wallet?
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- An object travels in a vertical circle of 1.43 m radius. When the object is traveling downward and is 28.0° from its lowest point, its total acceleration is a = (18.51 + 16.2ĵ) m/s². At this instant, determine the following. (Take the angle 28.0° clockwise from the axis of the circle that intersects the center and the lowest point. Assume that the +x axis is to the right and the +y axis is up along the page.) esc 7 (a) magnitude of the radial acceleration m/s² (b) magnitude of the tangential acceleration m/s² (c) speed of the object m/s (d) velocity of the object (Express your answer in vector form.) m/s v= 1 ² F1 Q A 1 N 2 Q F2 W S 3 X # H option command 80 F3 E D $ 4 C 990 GOD F4 R F % 67 8 5 F5 V T MacBook Air 6 G F6 Y B & 7 H 4 F7 U N 00 * 8 J FB 1 ( 9 M F9 K O O < A I -10 L || ! P V F11 1 + { [ 2 412 1 - option commandA particle is moving in a circle of radius R. At t = 0, it is located on the x-axis. The angle the particle makes with the positive x -axis is given by 0 = At² + Bt³ What is the magnitude of the tangential acceleration, atan of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed. What is the magnitude of the radial acceleration, larad of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed.An object moves in a circular path at a constant speed. What is the relationship between the directions of the object's velocity and acceleration vectors? The velocity vector points in a direction tangent to the circular path. The acceleration is zero. The velocity and acceleration vectors are perpendicular. The velocity and acceleration vectors point in opposite directions. The velocity and acceleration vectors point in the same direction. The velocity vector points toward the center of the circular path. The acceleration is zero.
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