Figure 10-27 shows three flat disks (of the same radius) that can rotate about their centers like merry-go-rounds. Each disk consists of the same two materials, one denser than the other (density is mass per unit volume). In disks 1 and 3, the denser material forms the outer half of the disk area. In disk 2, it forms the inner half of the disk area. Forces with identical magnitudes are applied tangentially to the disk, either at the outer edge or at the interface of the two materials, as shown. Rank the disks according to (a) the torque about the disk center, (b) the rotational inertia about the disk center, and (c) the angular acceleration of the disk, greatest first. Figure 10-27 Question 10.
Figure 10-27 shows three flat disks (of the same radius) that can rotate about their centers like merry-go-rounds. Each disk consists of the same two materials, one denser than the other (density is mass per unit volume). In disks 1 and 3, the denser material forms the outer half of the disk area. In disk 2, it forms the inner half of the disk area. Forces with identical magnitudes are applied tangentially to the disk, either at the outer edge or at the interface of the two materials, as shown. Rank the disks according to (a) the torque about the disk center, (b) the rotational inertia about the disk center, and (c) the angular acceleration of the disk, greatest first. Figure 10-27 Question 10.
Solution Summary: The author explains the rank of the discs according to their torque, rotational inertia, and angular acceleration.
Figure 10-27 shows three flat disks (of the same radius) that can rotate about their centers like merry-go-rounds. Each disk consists of the same two materials, one denser than the other (density is mass per unit volume). In disks 1 and 3, the denser material forms the outer half of the disk area. In disk 2, it forms the inner half of the disk area. Forces with identical magnitudes are applied tangentially to the disk, either at the outer edge or at the interface of the two materials, as shown. Rank the disks according to (a) the torque about the disk center, (b) the rotational inertia about the disk center, and (c) the angular acceleration of the disk, greatest first.
Figure 10-27 Question 10.
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 .
Using the Experimental Acceleration due to Gravity values from each data table, Data Tables 1, 2, and 3; determine the Standard Deviation, σ, mean, μ, variance, σ2 and the 95% Margin of Error (Confidence Level) Data: Ex. Acc. 1: 12.29 m/s^2. Ex. Acc. 2: 10.86 m/s^2, Ex. Acc. 3: 9.05 m/s^2
In the Super Smash Bros. games the character Yoshi’s has a “ground pound” down special move where he launches himself downward to attack an enemy beneath him. A) If Yoshi flings himself downwards at 9.76 miles per hour to hit an enemy 10.5 m below him, how fast is Yoshi traveling when he hits the enemy? 1 mile = 1609 m B) How much time does it take Yoshi to hit the enemy beneath him?
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Chapter 10 Solutions
Fundamentals of Physics Extended 10E WileyPlus 5 Student Package
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