An 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/s

An 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/s

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Circular Motion And Other Applications Of Newton's Laws

Section: Chapter Questions

Problem 3P: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as...

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Peter throws a baseball through a houses window. He stands 3.4 m from the window. The ball starts in his hand 1.1m above the ground and goes through the window at a point 2.4 m off the ground. a. Sketch the problem, including an xy coordinate system with the origin on the ground directly below the initial position of the ball, the y axis pointing upward, and the x axis pointing toward the house. b. What are the initial and final coordinates of the ball?
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The rectangle shown in Figure P3.56 has sides parallel to the x and y axes. The position vectors of two corners are = 10.0 m at 50.0 and = 12.0 m at 30.0. (a) Find the perimeter of the rectangle. (b) Find the magnitude and direction of the vector from the origin to the upper-right corner of the rectangle.
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P6.3. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) What is the acceleration when the car is at B located at an angle of 35.0? Express your answer in terms of the unit vectors i and j. Determine (b) the cars average speed and (c) its average acceleration during the 36.0-s interval. Figure P6.3
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P7.15. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) Determine the cars speed. (b) What is the magnitude and direction of the acceleration when the car is at point B? Figure P7.15
Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the distance she would have to ride due south and due west to reach the same location?
Let us name three perpendicular directions as right, up, and toward you as you might name them when you are facing a television screen that lies in a vertical plane. Unit vectors for these directions are r. u. and L respectively. Consider the quantity (-3 2t ). (i) Is the magnitude of this vector (a) 6, (b) 3, (c) 2, or (d) 0? (ii) Is the direction of this vector (a) down, (b) toward you, (c) up, (d) away from you, or (e) left?
An object is moving counter-clockwise in uniform circular motion at a constant speed of 3 m/s in a circle of radius 1.2 m. The magnitude of radial acceleration is 7.5 m/s?. Point A is at an angle of 15 degrees from the x axis. Sketching the position, velocity, and acceleration vectors may be helpful. A. Calculate the x and y components of the position vector for point A. B. Calculate the x and y components of the velocity vector for point A. C. Calculate the x and y components of the acceleration vector for point A. +y A +x 15° (0,0)
3. Consider a particle moving in uniform circular motion (UCM) in the counter clockwise direction along a circular path of radius r as shown below. At the instant shown below the position vector r makes an angle 0 with the horizontal. 9. a) Obtain the position vector in unit-vector notation. b) Obtain the velocity vector in unit vector notation. c) Obtain the acceleration vector in unit vector notation. d) Prove that the magnitude of the radially inward. acceleration vector is direction is and it's e) Prove that the position vector is perpendicular to the velocity vector.
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A boy whirls a stone in a horizontal circle of radius 1.46 m and at height 2.29 mabove level ground. The string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 8.57 m. What is the magnitude of the centripetal acceleration of the stone while in circular motion? Use g=9.81 m/s². Number Units