1) device consists of two rotating disks, separated by a distance of d = 0.819 m

Question

1)  device consists of two rotating disks, separated by a distance of d = 0.819 m, and rotating with an angular speed of 98.7 rad/s. The bullet first passes through the left disk and then through the right disk. It is found that the angular displacement between the two bullet holes is = 0.295 rad. From these data, determine the speed of the bullet.

  2) After 12.4 s, a spinning roulette wheel has slowed down to an angular velocity of 1.09 rad/s. During this time, the wheel has an angular acceleration of -4.39 rad/s2. Determine the angular displacement of the wheel.

3)A motorcycle, which has an initial linear speed of 6.9 m/s, decelerates to a speed of 1.6 m/s in 5.3 s. Each wheel has a radius of 0.63 m and is rotating in a counterclockwise (positive) directions. What is (a) the constant angular acceleration (in rad/s2) and (b) the angular displacement (in rad) of each wheel?

Explanation / Answer

1)
1 second/ 98.7rad ×0.295 rad = 0.002988855... Seconds

The bullet traveled 0.819 m in 0.002988855 second's.

1 second/0.002988855...second = 334.576284


0.819 × 334.5762 = 274 Meters

Which means your bullet was traveling at a rate of 274 m/ Second

2)

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