Kinematics

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  1. A car accelerates uniformly from rest and reaches a speed of 22 m/s in 9s. The diameter of the tire is .58m.
  1. Find the number of revolutions that a tire make during this motion, assuming no slipping occurs. (54.4 rev)
  2. What is the final rotational speed of a tire, in revolutions per second?(75.9 rad/s)
  1. A dentist’s drill starts from rest. After 3.2s of constant angular acceleration, it turns at a rate of 25100 rev/min.
  1. Find the drill’s angular acceleration.(821 rad/s2)
  2. Determine the angle (in radians) through which the drill rotates during this period.(4204 rad)
  1. A centrifuge at the Winchester Medical Center rotates at an angular speed of 3600 rev/min. When switched off, it rotates 50 times before coming to rest. Find the constant angular acceleration of the centrifuge. (226 rad/s2)
  2. A racecar travels on a circular track of radius 250m. If the car moves with a constant speed of 45 m/s, find
  1. the angular speed of the car(.18 rad/s)
  2. the magnitude and direction of the car’s acceleration.(8.10 m/s2)
  1. An automobile accelerates from zero to 30m/s in 6s. The wheels have diameters of 0.4m. What is the angular acceleration of each wheel? (25 rad/s2)
  2. A discus thrower accelerates a discus from rest to a speed of 25 m/s by whirling it through 1.25 revolutions. Assume the discuss moves on the arc of a circle 1m in radius.
  1. Calculated the final angular speed of the discus.(25 rad/s)
  2. Determine the angular acceleration of the discus, assuming it to be constant. (39.8 rad/s2)
  3. Calculate the acceleration time. Neglect the spin of the discus about its center of mass.(0.63s)
  1. A disk 8cm in radius rotates at a constant rate of 1200 rev/min about the axis. Determine:
  1. the angular speed of the disk (126rad/s)
  2. the linear sped at a point 3cm for the disk’s center(3.78 m/s)
  3. the radial acceleration of a point on the rim(1270 rad/s2)
  4. the distance a point of the rim moves in 2s.(20.2m)
  1. A car is traveling at 36km/h on a straight road. The radius of the tires is .25m. Find the angular speed of the one of the tires, with its axle taken as the axis of rotation.(40rad/s)

Solutions

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