Racing disks . Figure 10-53 shows two disks that can rotate about their centers
ID: 2244701 • Letter: R
Question
Racing disks. Figure 10-53 shows two disks that can rotate about their centers like a merry-go-round. At time t = 0, the reference lines of the two disks have the same orientation. Disk A is already rotating, with a constant angular velocity ?A. Disk B has been stationary but now begins to rotate at a constant angular acceleration ?B. What is the first time t after t = 0 that the reference lines of the two disks momentarily have the same angular displacement? State your answers in terms of the given variables.
Explanation / Answer
Setting d = vt, equal to d = (1/2)at^2, and solving for t, we find that at time 2w/alpha they have the same displacement.
Racing disks. Figure 10-48 shows two disks that can rotate about their centers like a merry-go-round. At time t = 0, the reference lines of the two disks have the same orientation. Disk A is already rotating, with a constant angular velocity of 10 rad/s. Disk B has been stationary but now begins to rotate at a constant angular acceleration of 1.5 rad/s2. What is the first time t after t = 0 that the reference lines of the two disks momentarily have the sameangular displacement ??
Car A is moving at velocity of 10 m/s
Car B is accelerating at 1.5 m/s^2
When will both cars have traveled the same distance?
The distance and the time are same, when the 2 cars are side by side!
For Car A, distance = v * t = 10 * t
For Car B, distance =
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