SOLUTION: Assume that the bicycle in the figure is moving forward at a constant rate. Point A is on the edge of the 30-inch rear tire, and point B is on the edge of the 20-inch front tire

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Question 1139428: Assume that the bicycle in the
figure is moving forward at a constant rate. Point A is on
the edge of the 30-inch rear tire, and point B is on the edge of
the 20-inch front tire.

Figure of bicycle: https://i.imgur.com/CUB8jYd.png

Following questions:

a. Which point (A or B) has the greater angular velocity?

b. Which point (A or B) has the greater linear velocity?

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Assume that the bicycle in the
figure is moving forward at a constant rate. Point A is on
the edge of the 30-inch rear tire, and point B is on the edge of
the 20-inch front tire.

Figure of bicycle: https://i.imgur.com/CUB8jYd.png

Following questions:

a. Which point (A or B) has the greater angular velocity?
The smaller tire makes more revolutions per unit time ---> greater angular speed.

b. Which point (A or B) has the greater linear velocity?
All points on a moving solid have the same linear speed.

Answer by ikleyn(52905) (Show Source):
You can put this solution on YOUR website!
.

Which "linear velocity" ?

Linear velocity relative to WHAT ?

Without pointing "Relative to what" this question MAKES NO SENSE.

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The Alan' statement "All points on a moving solid have the same linear speed" from his post is IRRELEVANT to the given case.

In the given case, different points of the bicycle have DIFFERENT velocities / (linear velocities) / (speed).

For example, the contact point of the tire with the ground has 0 (zero, ZERO (!) ) speed relative to the ground (!) (!) (!)