A small mass sits on a turntable at a distance of .347 m from the center of the turntable. The small mass has a tangential acceleration of 1.54 m/s^2. What happens to the angular acceleration of the mass?
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- 1. A horizontal platform in the shape of a disk rotates in the horizontal plane about a frictionless vertical axle. The platform has a mass of 150 kg and a radius 2.5m. A student whose mass is 30 kg walks slowly from the rim of the disk towards its center.lf the angular speed is 1.5 rad/s when the boy is at the rim (a)What is the angular speed when the student has reached a point 1.0 m from the center?Please don't provide handwritten solution... As the rotational speed of a space habitat increases, the apparent weight of people inside A. decreases. B. increases. C. stays the same. D. is one-half the space habitat's center of gravity.A wheel with a radius of 12 cm rotates through 2.5 radians whileaccelerating from 1.2 rad/s to 6.2 rad/s.a) Calculate the angular acceleration.b) Determine the tangential acceleration.c) How long was the wheel accelerating?
- 1. A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s. Find the a) angular acceleration, b) angle in degrees through which the blade has turned in the 20-s interval, c) the linear velocity of a point in the rim of the saw when the angular velocity is 10 rad.s-1. 2. The angle @ through which a bicycle wheel turns is given by e = a +bt2+ ct3 where a, b, and c are constants. Calculate the a) velocity and b) acceleration of the wheel as a function of time. 3. A grinding wheel 0.2 m in diameter, of mass 3 kg, is rotating at 3600 revolution per minute about an axis through its center. What is its kinetic energy? 4. What is the angular velocity of the hour hand of a clock if it has a length L and mass m? Hint: Always use standard units in your solutions.1. Calculate the angular momentum and kinetic energy of an object rotating at 2.5 rad/s with a mass of 10. kg and a radius of 0.50 m given the following geometries: Solid cylinder Hollow cylinder Solid sphere Hollow sphere a. b. C. d.A frisbee is moving through the air with a constant angular velocity of 10 cycles/s and a constant center of mass velocity of 20 m/s. Which of the following statements is true. a. The frisbee is not in rotational equilbrium. b. The frisbee is in total equilibrium. c. The frisbee is not in translational equilibrium, and it is not in rotational equilibirum. d. The frisbee is not in translational equilibrium. e. The frisbee is in translational equilibrium, but it is not in rotational equilibirum.
- 5. A6 ft board with mass of 2 kg is horizontal and attached to a swivel on one side,the other is allowed to fall from rest. (One side of the board will fall| while the other stays fastened..)3. A winch has a moment of inertia of 10.0 kg-m2. Two masses m, = 5kgs and m2 = 2kgs are attached to strings which are wrapped around different parts of the winch which have radii R, = 25.0 cm and R2 %3D = 40.0 cm. a) Determine the angular acceleration of the masses. b) What are the tensions in the strings?A. less than initial angular momentum before the person moves B. same as initial angular momentum before the person moves C. greater than initial angular momentum before the person moves
- 3. A rowing machine consists of a solid disk with a radius of 20-cm and a mass of 19-kg. An athlete pulls on the attached cable with a force of 10-Newtons and causes the disk to accelerate. If the disk starts from rest, determine; a. The disk's moment of inertia. b. The magnitude of the torque applied by the athlete. C. The disk's angular acceleration. d. The disk's angular momentum at t = 5.0 sec.It is desired that the outer edge of a grinding wheel 8cm in radius move at a rate of 6m/s. a.) Determine the angular speed of the wheel . b.) What length of thread could be wound on the rim of the wheel in 3s when it is turning at this rate ?Mario spins with arms outstretched holding dumbbells. In accord with angular momentum conservation we know that if he pulls his arms inward, rotational rate will increase. And we know that if he could extend his arms farther, rotational rate would decrease. But suppose he does neither, and simply drops the dumbbells. Then his rotational rate would A. increase. B. decrease. C. remain unchanged.