The figure shows a disk of radius R rotating about its center. the disk is curre

Question

The figure shows a disk of radius R rotating about its center. the disk is currently speeding up.
Point P is 0.75R from the center, and point Q is at the edge.

Which of the following statements are true?

1)vP and vQ have the same direction

2)Points P and Q have the same velocity

3)The speed of point P is (9/16)ths the speed of point Q

4)The speed of point P is 3/4 the speed of point Q

5)vP and vQ have the same magnitude

6)Points P and Q have the same centripetal acceleration

7)Points P and Q have the same angular velocity

8)Points P and Q have the same angular acceleration

Explain your answer.

Explanation / Answer

each and every point of the disk has same angular speed ,but varying linear speeds

and direction of linear speed is tangential at that point

Vp = 0.75R*w

VQ = R*w

then vp = 0.75vQ = (3/4)*vQ

accelaration a =r*w^2

ap = 0.75 Rw^2

aQ = R*w^2

then angular accelaration alpha = a/R

So true statements are

1)vP and vQ have the same direction

4)The speed of point P is 3/4 the speed of point Q

7)Points P and Q have the same angular velocity

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

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