A mill in a textile plant uses the belt-and-pulley arrangement shown to transmit power. When t = 0 an electric motor is turning pulley A with an angular velocity of wa = 5 rad/s. If this pulley is subjected to a constant angular acceleration 2 rad/s, determine the angular velocity of pulley B after B turns 6 revolutions. The hub at D is rigidly connected to pulley C and turns with it. 4 in. 3 in 5 in. 4.5 in. w = 5 rad/s
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- As shown in the figure below, wheel A has a radius of 10 cm and is attached by a belt to to wheel C which has a radius of 25 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.1 rad/s2(α). Determine the the time needed for wheel C to reach an angular speed of 100 rev/min assuming the belt does not slip. The linear velocity of the belt must be the same so αArA=αCrC. The relationship between angular acceleration and angular speed is ω=αt. 2pi rad = 1 rev. Don't forget to convert to consistent units.A turn table starts from rest and reaches 11 rad/s of angular velocity in 9.0 s. Find the total angle it turned during the time in rad. Hint: use rotational kinematics formula. Assume initial angle and initial angular velocity as zero. Your Answer:A turn table starts from 10 rad/s of angular velocity and slows down to a stop in 5.0 s. Find the total angle turned during this time, in rad. Hint: use rotational kinematics formula. Assume initial angle and final angular velocity as zero.
- In the figure, two 6.90 kg blocks are connected by a massless string over a pulley of radius 1.10 cm and rotational inertia 7.40 x 10-4 kg-m². The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.900 rad in 148 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T1, and (d) string tension T2? Assume free-fall acceleration to be equal to 9.81 m/s?. (a) Number i Units (b) Number Units (c) Number Units (d) Number Units >In the figure, two 5.70 kg blocks are connected by a massless string over a pulley of radius 140 cm and rotational inertia 7.40 x 104 kg-m². The string does not slip on the pulley: it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 1.20 rad in 126 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T, and (d) string tension T;? Assume free-fall acceleration to be equal to 9.81 ms?. (a) Number Units (b) Number Units (c) Number Units (d) Number Units >In the figure, two 6.30 kg blocks are connected by a massless string over a pulley of radius 1.30 cm and rotational inertia 7.40 x 104 kg-m2. The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.800 rad in 126 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T,, and (d) string tension T,? Assume free-fall acceleration to be equal to 9.81 m/s. (a) Number Units (b) Number Units (c) Number Units (d) Number Units