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Consider an old-fashion bicycle with a small wheel of radius 0.26 m and a large

ID: 2264397 • Letter: C

Question

Consider an old-fashion bicycle with a small wheel of radius 0.26 m and a large wheel of radius 0.82 m. Suppose the rider starts at rest, accelerates with a constant acceleration for 2.3 minutes to a velocity of magnitude 10 m/s. He maintains this velocity for 12.4 minutes and then decelerates, with a constant deceleration, for 3.3 minutes at which time he is at rest. Find the angular velocity of the wheel of radius 0.26 m during the constant velocity part of the trip
The correct answer is 38.5, but not sure what I keep doing wrong Consider an old-fashion bicycle with a small wheel of radius 0.26 m and a large wheel of radius 0.82 m. Suppose the rider starts at rest, accelerates with a constant acceleration for 2.3 minutes to a velocity of magnitude 10 m/s. He maintains this velocity for 12.4 minutes and then decelerates, with a constant deceleration, for 3.3 minutes at which time he is at rest. Find the angular velocity of the wheel of radius 0.26 m during the constant velocity part of the trip Consider an old-fashion bicycle with a small wheel of radius 0.26 m and a large wheel of radius 0.82 m. Suppose the rider starts at rest, accelerates with a constant acceleration for 2.3 minutes to a velocity of magnitude 10 m/s. He maintains this velocity for 12.4 minutes and then decelerates, with a constant deceleration, for 3.3 minutes at which time he is at rest. Find the angular velocity of the wheel of radius 0.26 m during the constant velocity part of the trip

The correct answer is 38.5, but not sure what I keep doing wrong The correct answer is 38.5, but not sure what I keep doing wrong Consider an old-fashion bicycle with a small wheel of radius 0.26 m and a large wheel of radius 0.82 m. Suppose the rider starts at rest, accelerates with a constant acceleration for 2.3 minutes to a velocity of magnitude 10 m/s. He maintains this velocity for 12.4 minutes and then decelerates, with a constant deceleration, for 3.3 minutes at which time he is at rest. Find the angular velocity of the wheel of radius 0.26 m during the constant velocity part of the trip
The correct answer is 38.5, but not sure what I keep doing wrong

Explanation / Answer

when vel=v=constant=10m/s

then

rw=10 {as there is no slipping}

So

w=10/0.26=38.46=38.5rad/s

All other data is not needed for this part. Maybe used in other parts of the question.