DATA A technician is testing a computer-controlled, variable-speed motor. She attaches a thin disk to the motor shaft, with the shaft at the center of the disk. The disk starts from rest, and sensors attached to the motor shaft measure the angular acceleration of the shaft as a function of time. The results from one test run are shown in Fig. P9.87 : (a) Through how many revolutions has the disk turned in the first 5.0 s? Can you use Eq. (9.11)? Explain. What is the angular velocity , in rad/s, of the disk (b) at t = 5.0 s; (c) when it has turned through 2.00 rev? Figure P9.87
DATA A technician is testing a computer-controlled, variable-speed motor. She attaches a thin disk to the motor shaft, with the shaft at the center of the disk. The disk starts from rest, and sensors attached to the motor shaft measure the angular acceleration of the shaft as a function of time. The results from one test run are shown in Fig. P9.87 : (a) Through how many revolutions has the disk turned in the first 5.0 s? Can you use Eq. (9.11)? Explain. What is the angular velocity , in rad/s, of the disk (b) at t = 5.0 s; (c) when it has turned through 2.00 rev? Figure P9.87
DATA A technician is testing a computer-controlled, variable-speed motor. She attaches a thin disk to the motor shaft, with the shaft at the center of the disk. The disk starts from rest, and sensors attached to the motor shaft measure the angular acceleration of the shaft as a function of time. The results from one test run are shown in Fig. P9.87: (a) Through how many revolutions has the disk turned in the first 5.0 s? Can you use Eq. (9.11)? Explain. What is the angular velocity, in rad/s, of the disk (b) at t = 5.0 s; (c) when it has turned through 2.00 rev?
Figure P9.87
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
1. An arrangement of three charges is shown below where q₁ = 1.6 × 10-19 C, q2 = -1.6×10-19 C,
and q3 3.2 x 10-19 C.
2 cm
Y
93
92
91
X
3 cm
(a) Calculate the magnitude and direction of the net force on q₁.
(b) Sketch the direction of the forces on qi
(Figure 1)In each case let w be the weight of the suspended crate full of priceless art objects. The strut is uniform and also has weight w
Find the direction of the force exerted on the strut by the pivot in the arrangement (a).
Express your answer in degrees.
Find the tension Tb in the cable in the arrangement (b).
Express your answer in terms of w.
Find the magnitude of the force exerted on the strut by the pivot in the arrangement (b).
Express your answer in terms of w.
(Figure 1)In each case let ww be the weight of the suspended crate full of priceless art objects. The strut is uniform and also has weight w.
Find the direction of the force exerted on the strut by the pivot in the arrangement (b).
Express your answer in degrees.
Chapter 9 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
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