Solve for Constant Torque: 75g-cm2 to Spin Yo-Yo to 300 rev/min in 1s

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Homework Help Overview

The problem involves calculating the constant torque required for a yo-yo with a specified moment of inertia to reach a certain angular velocity within a given time frame. The subject area pertains to rotational dynamics and torque.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to determine the angular acceleration and subsequently the torque by applying the relationship between torque, moment of inertia, and angular acceleration. Some participants question the correctness of the approach and emphasize the importance of unit consistency.

Discussion Status

The discussion includes attempts to clarify the method for calculating torque and the importance of unit conversion. While some guidance has been offered regarding the correctness of the original poster's thinking, there is no explicit consensus on the final answer or method.

Contextual Notes

Participants note the need for careful attention to units, indicating that unit conversion may be a point of confusion or importance in the problem-solving process.

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Homework Statement


A yo-yo has a moment of inertia of 75.0 g-cm2 about its rotation axis. What is the constant torque required to make it spin to 300 rev/min in one second, starting from rest?

Homework Equations


∑
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= Iα

The Attempt at a Solution


I was thinking since the question is asking for constant torque, angular acceleration would also have to be constant. Therefore, I would just find angular acceleration (using (ω(t) - ω0)/(t2-t1)) then multiply that angular acceleration by the moment of inertia. Is that correct thinking?
 
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Yes, your thinking is correct. Be careful with the units.
 
What did you get as your answer for this?
 
cat__lover said:
What did you get as your answer for this?
2.36 x 10^-4 kg*m^2/s^2
 

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