A bicyclist starting at rest produces a constant angular acceleration of [tex]1.70 \, \text{rad/s}^2[/tex] for wheels that are [tex]34.5 \, \text{cm}[/tex] in radius. What is the angular acceleration?

A. [tex]1.70 \, \text{rad/s}^2[/tex]
B. [tex]34.5 \, \text{rad/s}^2[/tex]
C. [tex]1.70 \, \text{cm/s}^2[/tex]
D. [tex]34.5 \, \text{cm/s}^2[/tex]

Question

20-08-2023
Physics

High School

Thank you for visiting A bicyclist starting at rest produces a constant angular acceleration of tex 1 70 text rad s 2 tex for wheels that are tex 34. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

A bicyclist starting at rest produces a constant angular acceleration of [tex]1.70 \, \text{rad/s}^2[/tex] for wheels that are [tex]34.5 \, \text{cm}[/tex] in radius. What is the angular acceleration?

A. [tex]1.70 \, \text{rad/s}^2[/tex]
B. [tex]34.5 \, \text{rad/s}^2[/tex]
C. [tex]1.70 \, \text{cm/s}^2[/tex]
D. [tex]34.5 \, \text{cm/s}^2[/tex]

Answer :

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shivanshi2825 shivanshi2825 · Answer 1 · 2024-11-04T07:53:14-05:00

Final answer:

The angular acceleration of the bicycle wheel is 1.70 rad/s², which is option a). This value is a constant and does not depend on the radius of the wheel.

Explanation:

The student asked what the angular acceleration of a bicycle wheel is if it starts at rest and accelerates at a constant rate of 1.70 rad/s². The answer is simply given in the question. The angular acceleration is 'a) 1.70 rad/s²' because angular acceleration is a measure of how quickly the angular velocity of an object changes with time, and since the bicyclist produces a constant angular acceleration, it remains at 1.70 rad/s². This is a concept from physics known as rotational motion, where angular acceleration is denoted by the Greek letter alpha (α) and is defined as the rate of change of angular velocity. The radius of the wheel does not affect the angular acceleration, so the given wheel radius of 34.5 cm is not directly relevant to the answer of the student's question.