A disk 8.04 cm in radius rotates at a constant rate of 1 170 rev/min about its central axis. (a) Determine its angular speed. rad/s (b) Determine the tangential speed at a point 2.92 cm from its center. m/s (c) Determine the radial acceleration of a point on the rim. | km/s² magnitude direction |---Select--- (d) Determine the total distance a point on the rim moves in 1.90 s. m
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- A high-speed sander has a disk 4.10cm in radius that rotates about its axis at a constant rate of 1250 revolutions per minute. a) Determine the angular speed of the disk in radians per second. b) Determine the linear speed of a point 1.80cm from the disk's center c) Determine the centripetal acceleration of a point on the rim. d) Determine the total distance traveled by a point on the rim in 1.80s.A dentist's drill starts from rest. After 3.30 s of constant angular acceleration it turns at a rate of 2.10 x 10° rev/min. (a) Find the drill's angular acceleration. | rad/s² (b) Determine the angle (in radians) through which the drill rotates during this period. radImagine a disc which has a diameter of 2.00m. The angular velocity of the spinning disk is 305rev/min. a) What is the angular velocity of the disk in radians per second? b) What is the linear speed of a point on the rim of the disk? (m/s) c) Find the angular accleration (in revolutions per minute-squared)that will increase the disk's angular velocity to 1000 rev/min in 60 s. Assume the acceleration is constant. d) How many revolutions does the disk make during this 60 s accleration? d)
- 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) What is the magnitude of the tangential acceleration of a bug on the rim of a 12.5-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 77.0 rev/min in 3.30 s? m/s² (b) When the disk is at its final speed, what is the magnitude of the tangential velocity of the bug? m/s (c) One second after the bug starts from rest, what is the magnitude of its tangential acceleration? m/s² (d) One second after the bug starts from rest, what is the magnitude of its centripetal acceleration? m/s² (e) One second after the bug starts from rest, what is its total acceleration? (Take the positive direction to be in the direction of motion.) magnitude m/s² direction ° from the radially inward directionAn ultracentrifuge accelerates from rest to 100,000 rpm in 2.30 min. (a) What is its angular acceleration in rad/s2? _________rad/s2 (b) What is the tangential acceleration of a point 10.7 cm from the axis of rotation?_________m/s2 (c) What is the radial acceleration of this point at full rpm?_________m/s2 (d) Express this radial acceleration as a multiple of g._________g
- A disk 8.02 cm in radius rotates at a constant rate of 1 260 rev/min about its central axis. (a) Determine its angular speed. rad/s (b) Determine the tangential speed at a point 2.90 cm from its center. m/s (c) Determine the radial acceleration of a point on the rim. magnitude km/s² direction ---Select--- (d) Determine the total distance a point on the rim moves in 2.02 s. mProblem 12: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 241 kg. A small boy of mass m = 46 kg runs tangentially to the merry-go-round at a speed of v = 1.8 m/s, and jumps on. Randomized Variables R = 1.3 meters M = 241 kg m = 46 kg v = 1.8 m/s1) An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a)What is the average angular acceleration in rad/s²? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the centripetal acceleration in m/s² and multiples of g of this point at full rpm? (d) What is the total distance traveled during the acceleration by a point 9.5 cm from the axis of rotation of the ultracentrifuge?
- (a) What is the tangential acceleration of a bug on the rim of a 5.0 in. diameter disk if the disk moves from rest to an angular speed of 76 rev/min in 5.0 s? |m/s2 (b) When the disk is at its final speed, what is the tangential velocity of the bug? m/s (c) One second after the bug starts from rest, what is its tangential acceleration? ]m/s? What is its centripetal acceleration? m/s? What is its total acceleration? |m/s² ° (relative to the tangential acceleration)A particle moves in a circle of radius 80 m with a constant speed of 30 m/s. (a) What is its angular velocity in radians per second about the center of the circle? rad/s (b) How many revolutions does it make in 30 s? rev eBook