Just looking for confirmation for a torque calculation

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Homework Help Overview

The discussion revolves around a torque calculation related to the energy required to rotate a 10 mm cube weighing 7.5 grams by 180 degrees in a very short time frame of 0.001 seconds. Participants are exploring the concepts of torque, energy, and rotational motion without providing a definitive solution.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants question the original poster's calculation and the assumptions made regarding energy and torque. There are discussions about the need for a torque value and the moment of inertia used in the calculations. Some suggest different strategies for applying torque and energy during the rotation process.

Discussion Status

The discussion is active, with participants providing insights and questioning the assumptions made in the original calculation. There are multiple interpretations being explored regarding energy expenditure and torque application, but no consensus has been reached.

Contextual Notes

Participants note the absence of details on how the original calculation was derived, which complicates the verification of the answer. There are also discussions about the definitions of energy and torque in the context of the problem, as well as the implications of different rotational strategies.

  • #61
jbriggs444 said:
The correct formula is ##KE = \frac{1}{2} \times I \times {\omega_f}^2##

Note that the ##\omega_f## is squared.

If you do not apply the factor of ##\frac{1}{2}## and do not square ##\omega_f## then the result will be angular momentum. We use the symbol "L" for angular momentum: ##L = I \times \omega_f##.


In the car problem, the same applies. The correct formula is ##KE = \frac{1}{2} \times m \times v^2##

If you do not apply the factor of ##\frac{1}{2}## and do not square ##v## then the result will be momentum. We use the symbol "p" for momentum: ##p = m \times v##
Notes taken thank you
 

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