Question

Two points are on a disk that rotates about an axis perpendicular to the plane of the disk at its center. Point B is 3 times as far from the axis as point A. If the linear speed of point B is V, then the linear speed of point A is:_______

a. 9V.
b. 3V.
c. V.
d. V/3.
e. V/9.

Answer 1

Answer:

D. V/3.

Explanation:

V = rw

At point a

Linear velocity

= Va = rw

At point b

We have,

V = 3rw

So linear velocity of a

= V/Va = 3rw/re

I cross multiples and after which I got Va = v/3

Please view attachment

Answer 2

Answer:

• The linear speed of point A is $\frac{V}{3}$ (Option D)

Explanation:

The relation between linear and angular velocity,

$V = rw$

Now, for point A the linear velocity is

$V_A = rw$

And for point B

$V = 3rw$

Therefore, the linear velocity of the point A

$\frac{V}{V_A} = \frac{3rw}{rw}\\\\V_A = \frac{V}{3}$

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