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A ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the lowest point on its way up, its total acceleration is
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- Which of the following correctly describes the centripetal acceleration vector for a particle moving in a circular path? (a) constant and always perpendicular to the velocity vector for the particle (b) constant and always parallel to the velocity vector for the particle (c) of constant magnitude and always perpendicular to the velocity vector for the particle (d) of constant magnitude and always parallel to the velocity vector for the particlearrow_forwardAn object travels in a vertical circle of 1.76 m radius. When the object is traveling downward and is 39.0° from its lowest point, its total acceleration is a = (18.5î + 16.2j) m/s2. At this instant, determine the following. (Take the angle 39.0° 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.) (a) magnitude of the radial acceleration 22.89 Draw a figure in order to get a good view of the particle, the acceleration vector, and its components. How can you obtain the radial acceleration from the components of the total acceleration? m/s2 (b) magnitude of the tangential acceleration m/s? (c) speed of the object m/s (d) velocity of the object (Express your answer in vector form.) m/sarrow_forwardA ball swings in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the lowest point on its way up, its total acceleration (-22.5i + 20m2j)m/s^2. At that instant, (a) sketch a vector diagram showing the components of its acceleration, (b) determine the magnitude of its radial acceleration, and (c) determine the speed and velocity of the ball. Assume that motion is uniform.arrow_forward
- A ball swings counterclockwise in a vertical circle at the end of a rope 1.23 m long. When the ball is 37.4° past the lowest point on its way up, its total acceleration is (-17.21 + 22.6ĵ) m/s². For that instant, do the following. (a) Sketch a vector diagram showing the components of its acceleration. Choose File No file chosen This answer has not been graded yet. (b) Determine the magnitude of its radial acceleration. m/s² (c) Determine the velocity of the ball. m/s ° counterclockwise from the +î direction magnitude direction Nood Help?arrow_forwardAn 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 commandarrow_forwardAn object travels in a vertical circle of 1.50 m radius. When the object is traveling downward and is 31.5° from its lowest point, its total acceleration is a = (18.5î + 16.2ĵ) m/s2. At this instant, determine the following. (Take the angle 31.5° 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.) a)magnitude of radial acceleration b)magnitude of tangential acceleration c)speed of the object d)velocity of the object (Express your answer in vector form.)arrow_forward
- A particle is traveling counterclockwise in a circle of radius r = 2.75m. At some instant in time, the particle is located by the angular coordinate alpha = 24o, the acceleration has a magnitude of 12 m/s2 and is directed at an angle beta = 20o with respect to the radial coordinate. Determine the velocity total acceleration. Give your answers in vector notation.arrow_forwardA Ferris wheel with a radius of 24.0 m is turning about a horizontal axis through its center as shown in the figure. The speed of a passenger on the rim is constant and equal to 6.00 m/. What is the magnitude and direction of the passenger's acceleration as she passes through the (a) lowest point in her circular motion and by the highest point in her circular motion? (c) How much time does it take the Ferris wheel to make one revolution? (d) Include a diagram of the passenger on the Ferris wheel at both locations and clearly indicate both the velocity and acceleration vectors of the passenger in the diagramarrow_forwardA particle has a centripetal acceleration of ac = 7.47 m/s2. It is executing uniform circular motion and the shortest straight-line distance between the particle and the axis is r = 5.95 m. Part (a) Write an expression for the speed v of the particle. Part (b) What is the speed of the particle in m/s?arrow_forward
- A woman rides a carnival Ferris wheel at radius 15 m, completing five turns about its horizontal axis every minute.What are (a) the period of the motion, the (b) magnitude and (c) direction of her centripetal acceleration at the highest point, and the (d) magnitude and (e) direction of her centripetal acceleration at the lowest point?arrow_forwardThe velocity of a particle is V and is constant. It moves counterclockwise on a circle with center "O" and radius R. Derivative of acceleration with respect to time; Find as a function of Ɵ, R, V, and the unit vectors (x^ , y^) in the x and y directions. Hint: a = -V^2/R(cosƟx^+ sinƟy^) and dƟ/dt= V/Rarrow_forwardA small ball is attached to the lower end of a 0.800-m-long string, and the other end of the string is tied to a horizontal rod. The string makes a constant angle of 37.4o with the vertical as the ball moves at a constant speed in a horizontal circle. If it takes the ball 1.60 s to complete one revolution, what is the magnitude of the radial acceleration of the ball? (Express your answer with the appropriate units)arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning