Starting from rest, a person pedals a bicycle such that the angular acceleration of the wheels is a constant 1.10 rad/s?. The bicycle wheels are 37.0 cm in radius. (a) What is the magnitude of the bicycle's linear acceleration (in m/s)? 0.777 How is the tangential acceleration of the wheel's edge related to the angular acceleration? Be careful with unit conversion. m/s? (b) What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 11.2 m/s? 2.13 How is the tangential velocity of the wheel's edge related to the angular velocity? Be careful with unit conversion. rad/s (c) How many radians have the wheels turned through in that time? 218.09

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Author:Paul Peter Urone, Roger Hinrichs
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Chapter6: Uniform Circular Motion And Gravitation
Section: Chapter Questions
Problem 16PE: Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians...
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Starting from rest, a person pedals a bicycle such that the angular acceleration of the wheels is a constant 1.10 rad/s². The bicycle wheels are
37.0 cm in radius.
(a) What is the magnitude of the bicycle's linear acceleration (in m/s²)?
0.777
How is the tangential acceleration of the wheel's edge related to the angular acceleration? Be careful with unit conversion. m/s²
(b) What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 11.2 m/s?
2.13
How is the tangential velocity of the wheel's edge related to the angular velocity? Be careful with unit conversion. rad/s
(c) How many radians have the wheels turned through in that time?
218.09
What constant acceleration formula relates final angular velocity to initial angular velocity, angular acceleration, and angular displacement?
Can you use this to solve for the angular displacement? rad
(d) How far (in m) has the bicycle traveled in that time?
80.69
How is the arc length (which is equal to the linear distance) related to the angular displacement? Be careful with unit conversion. m
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Transcribed Image Text:Starting from rest, a person pedals a bicycle such that the angular acceleration of the wheels is a constant 1.10 rad/s². The bicycle wheels are 37.0 cm in radius. (a) What is the magnitude of the bicycle's linear acceleration (in m/s²)? 0.777 How is the tangential acceleration of the wheel's edge related to the angular acceleration? Be careful with unit conversion. m/s² (b) What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 11.2 m/s? 2.13 How is the tangential velocity of the wheel's edge related to the angular velocity? Be careful with unit conversion. rad/s (c) How many radians have the wheels turned through in that time? 218.09 What constant acceleration formula relates final angular velocity to initial angular velocity, angular acceleration, and angular displacement? Can you use this to solve for the angular displacement? rad (d) How far (in m) has the bicycle traveled in that time? 80.69 How is the arc length (which is equal to the linear distance) related to the angular displacement? Be careful with unit conversion. m Need Help? Read It
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