A pendulum with a cord of lengthr = 0.950 m swings in a vertical plane (see figure). When the pendulum is in the two horizontal positions e = 90° and 0 = 270°, its speed is 4.60 m/s. (a) Find the magnitude of the radial acceleration (in m/s2) for these positions.
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- This figure (|a| = 14.5 m/s²) represents the total acceleration of a particle moving clockwise in a circle of radius r = 3.20 m at a certain instant of time. 30.0° (a) For that instant, find the radial acceleration of the particle. m/s² (toward the center) (b) For that instant, find the speed of the particle. m/s (c) For that instant, find its tangential acceleration. m/s² (in the direction of the motion) Need Help? Read It Watch ItThis figure (lal = 12.0 m/s2) represents the total acceleration of a particle moving clockwise in a circle of radius r = 3.10 m at a certain instant of time. 30.0 (a) For that instant, find the radial acceleration of the particle. m/s2 (toward the center) (b) For that instant, find the speed of the particle. m/s (c) For that instant, find its tangential acceleration, m/s2 (in the direction of the motion) Need Help? Read It Watch ItThis figure (|a| = 20.0 m/s²) represents the total acceleration of a particle moving clockwise in a circle of radius r = 3.10 m at a certain instant of time. 30.0° (a) For that instant, find the radial acceleration of the particle. m/s² (toward the center) (b) For that instant, find the speed of the particle. m/s (c) For that instant, find its tangential acceleration. m/s² (in the direction of the motion)
- A pendulum with a cord of length r = 1.20 m swings in a vertical plane (see figure). When the pendulum is in the two horizontal positions = 90° and 9 = 270°, its speed is 5.10 m/s. (a) Find the magnitude of the radial acceleration (in m/s²) for these positions. m/s² (b) Find the magnitude of the tangential acceleration (in m/s²) for these positions. m/s² (c) Draw vector diagram to determine the direction of the total acceleration for these two positions. O i ar a magnitude direction 090° ā ar 0=270° a SAAU 0-90° 0 = 270° 090° ar 0 270° (d) Calculate the magnitude (in m/s²) and direction (in degrees above or below the horizontal) of the total acceleration. m/s² ---Select-- the horizontal at at 0= 90° 0=270 at āThis figure (Ja = 17.5 m/s2) represents the total acceleration of a particle moving clockwise in a circle of radius r = 1.70 m at a certain instant of time. 30.0° (a) For that instant, find the radial acceleration of the particle. m/s² (toward the center) (b) For that instant, find the speed of the particle. m/s (c) For that instant, find its tangential acceleration. m/s? (in the direction of the motion)This figure (Ja = 24.0 m/s?) represents the total acceleration of a particle moving clockwise in a circle of radius r = 3.00 m at a certain instant of time. 30.0° (a) For that instant, find the radial acceleration of the particle. m/s? (toward the center) (b) For that instant, find the speed of the particle. m/s (c) For that instant, find its tangential acceleration. m/s? (in the direction of the motion)
- A Ferris wheel with radius 12.0 m is turning about a horizontal axis through its center in (Figure 1). The linear speed of a passenger on the rim is constant and equal to 6.40 m/s. A) What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion? (Express your answer with the appropriate units.) B) What is the direction of the passenger's acceleration as she passes through the lowest point in her circular motion? (Is it "Towards the center" or "outwards from the center"?) C) What is the magnitude of the passenger's acceleration as she passes through the highest point in her circular motion? (Express your answer with the appropriate units) D) What is the direction of the passenger's acceleration as she passes through the highest point in her circular motion (Is it "Towards the center" or "outwards from the center"?) E) How much time does it take the Ferris wheel to make one revolution? (Express your answer with the appropriate units.…This figure (lal = 16.5 m/s?) represents the total acceleration of a particle moving clockwise in a circle of radius r = 1.70 m at a certain instant of time. 30.00 (a) For that instant, find the radial acceleration of the particle. m/s? (toward the center) (b) For that instant, find the speed of the particle. m/s (c) For that instant, find its tangential acceleration. m/s? (in the direction of the motion)A disk of radius 3.00 m rotates like a merry-go-round as given by the function θ = 2.00t^4 + 6.00t^2, where θ is in radians and t is in seconds. What is the radial acceleration (m/s2) of a point on the rim t = 2.00 s?
- An astronaut is being tested in a centrifuge. The centrifuge has a radius of 2 m and, in starting, rotates according to θ = 6t^2, where t is in seconds and θ is in radians. When t = 5 s, what are the magnitudes of the astronaut’s (a) tangential acceleration, and (b) radial acceleration?A 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.A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 236 m, and the car completes the turn in 35.0 s. 35.0° В (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 î and î m/s? î + m/s? j (b) Determine the car's average speed. m/s (c) Determine its average acceleratiorr during the 35.0-s interval. m/s² î m/s² î +