A ball swings counterclockwise in a vertical circle at the end of a rope 1.56 m long. When the ball is 37.1° past the lowestpoint on its way up, its total acceleration is (-17.9î + 23.7j) m/s2. For that instant, do the following.(a) Sketch a vector diagram showing the components of its acceleration(b) Determine the magnitude of its radial acceleration.m/s?(c) Determine the velocity of the ball.magnitudem/sdirection° counterclockwise from the +î direction

given acceleration a=axi^+ayj^a=-17.9i^+23.7j^

Answered: A ball swings counterclockwise in a…

Similar questions

An 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.)
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in the figure below. The length of the arc ABC is 218 m, and the car completes the turn in 35.0 s. (a) Determine the car's speed. m/s(b) What is the magnitude and direction of the acceleration when the car is at point B? magnitude m/s2 direction ° counterclockwise from the +x-axis
A cat rides a merry-go-round turning with uniform circular motion. At time t = 1.70 s, the cat's velocity is (3.90 m/s) î + (2.50 m/s) ĵ, measured on a horizontal xy coordinate system. At t2 = 5.30 s, its velocity is (-3.90 m/s) î + (-2.50) ĵ. What are (a) the magnitude of the cat's centripetal acceleration and (b) the magnitude of the cat's average acceleration during the time interval t2 - t1, which is less than a %3D period of the motion? (a) Number Unit (b) Number Unit >
A particle moves horizontally in uniform circular motion, over a horizontal xy plane. At one instant, it moves through the point at coordinates (3.70 m, 4.10m) with a velocity of -2.70 7 m/s and an acceleration of +12.9 m/s². What are the (a) x and (b) y coordinates of the center of the circular path? (a) Number i (b) Number i Unit Unit
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 command
A 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.
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in the figure below. The length of the arc ABC is 257 m, and the car completes the turn in 39.0 s. 35.0° (a) Determine the car's speed. m/s (b) What is the magnitude and direction of the acceleration when the car is at point B? magnitude |m/s² direction ° counterclockwise from the +x-axis
letter d only
An airplane makes a gradual 270° turn (heading goes from north to west to south to east) while flying at a constant speed of 212 m/s and maintaining the same altitude. The process takes 15.6 seconds to complete and the radius of the turn is 2105 m. For this turn, the magnitude of the average acceleration of the plane is?
Problem 19: Part (a) What is the radius, in meters, of the track? r = ______ m Part (b) What was the runner's centripetal acceleration, in meters per squared second, during the run? ac = ______ m/s2
A pursue at radius 2.00 m and a wallet at radius 3.00 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 pursue is (2.00 m/s^2)i + (4.00 m/s^2)j. At the instant and in unit-vector notation, what is the acceleration of the wallet?
A remote-controlled car is moving around in a level (horizontal) parking lot. The velocity of the car as a function of time is given by: 3 = [5.0m/s – (0.018m/s³)t²]î + [2.0m/s + (0.55m/s²)t]j where î and ĵ are unit vectors representing two perpendicular directions on the horizontal ground (think of them as the East and North directions, if that helps you). b). What are the magnitude and direction of the car's velocity at t = 8.0 s? c). What are the magnitude and direction of the car's acceleration at t = 8.0 s? (Don't be intimated by the velocity function! Look at the î and ĵ components, and work each component separately to begin with, before combining components together to get any resultant vectors, if needed.)

SEE MORE QUESTIONS