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A cyclist accelerates from rest at a rate of 1.00 m/s2. How fast will a point on the rim
Chapter 8, Problem 70GP(choose chapter or problem)
A cyclist accelerates from rest at a rate of 1.00 m/s2. How fast will a point on the rim of the tire (diameter = 68 cm) at the top be moving after 3.0 s? [Hint: At any moment, the lowest point on the tire is in contact with the ground and is at rest—see Fig. 8–51.]
Questions & Answers
QUESTION:
A cyclist accelerates from rest at a rate of 1.00 m/s2. How fast will a point on the rim of the tire (diameter = 68 cm) at the top be moving after 3.0 s? [Hint: At any moment, the lowest point on the tire is in contact with the ground and is at rest—see Fig. 8–51.]
ANSWER:
Solution 70 GP
Step 1 of 2
We have to find the speed of a point on the rim of the tire at the top after moving 3.0 s
The speed of a point on the rime of the tire at the top can be found using the equation,
From the reference frame of the axle of the wheel, the points on the wheel are all moving with the same speed of
Where,
= speed of the centre relative to
the ground to the right =m/s
= speed of the top of the tire relative
to the centre of the wheel = m/s
Thus,