True or false?? I\'m having a lot of trouble with this problem. Two beads are fi

Question

True or false?? I'm having a lot of trouble with this problem.

Two beads are fixed to a rod that is rotating at a constant angular speed about a pivot at the left end of the rod, as indicated in the figure: Which bead has the greater speed? Select True or False for each of the following explanations: Bead B has the greater speed because for a given change in the angle of rotation in a given time, the outer bead travels a farther distance. Beads A and B have the same speed: since both are attached to the rod, both have the same angular speed. Bead B has the greater speed because co is the same for both beads, but r is greater for bead B Beads A and B must have the same speed because if one were moving faster than the other, the rod would have to bend. Bead A is faster than bead B, since the speed of a rotating object is given by v^/r and r is smaller for bead A, so its speed is greater Bead A is faster than bead B since during the same time it turns more sharply than bead B because it has a smaller r. Which bead has the greater magnitude of acceleration? Select True or False for each explanation: Bead A has a greater acceleration because the acceleration is v^2/r and r is smaller for A. Both beads have the same acceleration equal to zero, since both beads are traveling around the circle at a constant speed, and when the speed is constant, there is no acceleration. Both beads have acceleration equal to zero, since with each revolution, they wind up at the same point traveling at the same speed and direction as they started. This is true for every point on the circle, and since for every point the change in velocity is zero, at every point the acceleration must be zero. Bead A has a greater acceleration because in the same time interval it turns through a sharper arc, and so it has a greater change in velocity. Bead B has the greater acceleration because in a given time interval the change in direction of each bead is the same, but because bead B has a greater speed than bead A, the change in velocity is greater for B. Bead B has the greater acceleration because co is the same for both but bead B has a greater r.

Explanation / Answer

Use the relations

v = r*w (v is linear speed, r is radius and w is angular speed)

and

a = v^2/r or r*w^2 (a is rdial acceleration)

a)

1) True

2) False

3) True

4) False

5) False

6) False

b)

1) False

2)Flase

3) False

4) False

5) True

6) True

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.