A wheel of radius 0.60 m rotates with a constant angular speed about an axis per

Question

A wheel of radius 0.60 m rotates with a constant angular speed about an axis perpendicular to its center. A point on the wheel that is 0.15 m from the center has a tangential speed of 1.8 m/s. Determine the tangential speed of a point 0.55 m from the center of the wheel.

Question 15 options:

7.2 m/s

6.6 m/s

4.8 m/s

3.2 m/s

1.8 m/s

A bicycle has tires of radius 0.37 meters. If the bicycle is traveling at a constant speed of 8.7 m/s, at approximately what angular speed are the tires rotating?

Question 18 options:

78 rev/min

136 rev/min

163 rev/min

196 rev/min

224 rev/min

Need steps.

A)

7.2 m/s

B)

6.6 m/s

C)

4.8 m/s

D)

3.2 m/s

E)

1.8 m/s

Explanation / Answer

A)

here,

w = v/r

then , for points , as w is same for both ,

V2 / .55 = 1.8 /.15

V2 = 6.6 m/s

the tangential speed of a point 0.55 m from the center of the wheel is 6.6 m/s

B)

as V = r * w

w = 8.7/.37 = 23.51 rad/s

w = 224 rev/min

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