A point on the rim of a 0.63 m radius rotating wheel has a centripetal acceleration of 6.4 m/s². What is the angular velocity of a point 0.14 m from the center of the wheel?
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A: Given Radius of the wheel is r=0.2 m Initial angular speed is ω0=0 Angular acceleration isα=0.2…
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Q: A point on the rim of a 0.81 m radius rotating wheel has a centripetal acceleration of 6.9 m/s².…
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- A cylinder spins along its symmetry axis at 20 rad/s and linearly slows down to a stop over 2 seconds. What is its angular acceleration and angular displacement?The tires of a car make 85.0. revolutions as the car reduces its speed uniformly from 90.0 km/hr to 60.0 km/hr. The tires have a diameter of 0.90 m. What is the angular acceleration? If the car continues to slow down at this rate, how much more time is required to stop?Mary and her younger brother Alex decide to ride the carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 2.0 m from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 1.5 m from the center. The carousel takes 3.0 s to make each complete revolution. (a) What is Mary's angular speed ?M and tangential speed vM? ?M = rev/s vM = m/s (b) What is Alex's angular speed ?A and tangential speed vA? ?A = rev/s vA = m/s
- An optical disk drive in a computer can spin a disk at up to 10,000 rpm. If a particular disk is spun at 6170 rpm while it is being read, and then is allowed to come to rest over 0.368 s, what is the magnitude of the average angular acceleration of the disk?A 1.3 kg rock is swung in a circular path and in a vertical plane on a 1 m length string. At the top of the path, the angular velocity is 9 rad/s. What is the tension in the string at that point?A D B VB A large wind turbine (typical of the size and specifications of a turbine that you see in a modern wind farm) has three blades connected to a central hub. The blades are 50 m long and the linear velocity of point B is 65 m/s. (a) What is the linear velocity of point A which is 35 m away from the hub. (b) what is the angular velocity of the turbine. Express your answer in revolutions per minute.
- A point on the rim of a 0.87 m radius rotating wheel has a centripetal acceleration of 8.8 m/s2. What is the angular velocity of a point 0.18 m from the center of the wheel?What is the magnitude of the tangential acceleration of a bug on the rim of a 13.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 76.0 rev/min in 5.00 s? One second after the bug starts from rest, what is the magnitude of its tangential acceleration? One second after the bug starts from rest, what is the magnitude of its centripetal acceleration?A 1.3 kg rock is swung in a circular path and in a vertical plane on a 1 m length string. At the top of the path, the angular velocity is 24 rad/s. What is the tension in the string at that point?
- An astronaut is being tested in a centrifuge. The centrifuge has a radius of 14 m and, in starting, rotates according to 0 = 0.30t2, where t is in seconds and 0 is in radians. (a) When t = 8.0 s, what is the magnitude of the astronaut's angular velocity? rad/s (b) When t = 8.0 s, what is the magnitude of the astronaut's linear speed? m/s (c) When t = 8.0 s, what is the magnitude of the astronaut's tangential acceleration? m/s? (d) When t = 8.0 s, what is the magnitude of the astronaut's radial acceleration? m/s2A blade with a 0.25 m radius starts from rest and rotates with an accleration of 0.25 rad/s2. what is its angular velocity after 10s?A particle moves 6.7 m along a circle of radius 2.0 m. (Enter the magnitudes.) (a) Through what angle does it rotate (in rad)? rad (b) If the particle makes this trip in 1.0 s at a constant speed, what is its angular velocity (in rad/s)? rad/s (c) What is its acceleration (in m/s2)? m/s2