Solve Angular Problems: Rad/s, Revolutions, Acceleration

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The discussion revolves around solving angular motion problems related to an automobile tire and a bicycle. The first problem involves calculating the angular speed of a tire with a radius of 0.344 m moving at 19.2 m/s and determining the tangential speed of a point 0.104 m from the axle. The second problem focuses on a bicycle with wheels rotating at 14.5 rad/s, where the brakes are applied, leading to a uniform stop after 11.5 revolutions, prompting calculations for the time to stop and angular acceleration. Participants are reminded to provide their attempts or thoughts on the problems to facilitate better assistance. Engaging in the forum's Homework Help section is encouraged for dedicated support.
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Hey guys I need some help with these problems.

An automobile tire has a radius of 0.344 m, and its center moves forward with a linear speed of v = 19.2 m/s. (a) Determine the angular speed of the wheel. (b) Relative to the axle, what is the tangential speed of a point located 0.104 m from the axle?

A person is riding a bicycle, and its wheels have an angular velocity of 14.5 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 11.5 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the angular acceleration (in rad/s2) of each wheel?
 
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fate119 said:
Hey guys I need some help with these problems.

An automobile tire has a radius of 0.344 m, and its center moves forward with a linear speed of v = 19.2 m/s. (a) Determine the angular speed of the wheel. (b) Relative to the axle, what is the tangential speed of a point located 0.104 m from the axle?

A person is riding a bicycle, and its wheels have an angular velocity of 14.5 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 11.5 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the angular acceleration (in rad/s2) of each wheel?
Welcome to PF fate119,

For future reference we have Homework Help forums for dedicated homework assistance, don't worry about re-posting your question there, it'll be moved by a mentor shortly.

Secondly, when asking for help with your homework you are expect to detail your attempt at a solution, or at least outline your thoughts on the problem; if we don't know how much you know, we can't help you.
 
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