Torque Problem, need to verify answer

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Homework Help Overview

The problem involves calculating the net torque applied to a circular blade on a radial arm saw, given its initial and final angular velocities, the time interval, and the physical properties of the blade modeled as a uniform solid disk.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the moment of inertia for a uniform solid disk and its application in the torque calculation. There is an attempt to verify the formula used for moment of inertia and its implications for the torque calculation.

Discussion Status

Some participants are confirming the correctness of the moment of inertia formula and expressing uncertainty about potential errors in the calculations. There is no explicit consensus on the final answer, but the discussion is focused on clarifying the concepts involved.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the extent of guidance provided. The original poster's calculations and assumptions are being scrutinized for accuracy.

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Homework Statement


The circular blade on a radial arm saw is turning at 262 rad/s at the instant the motor is turned off. In 18.0 s the speed of the blade is reduced to 85 rad/s. Assume the blade to be a uniform solid disk of radius 0.130 m and mass 0.400 kg. Find the net torque applied to the blade.

Homework Equations


Sum torque=moment of inertia X angular deceleration

The Attempt at a Solution


ΣT=Ia
a=(Wf-Wi)/t=(85-262)/18=-10 rad/s
ΣT=.5mr^2*a
=.5*.4(.13)^2*10 = .0338 Nm
 
Last edited:
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I think the moment of inertia for a uniform solid disk is 1/2*m*r^2.
 
Anadyne said:
I think the moment of inertia for a uniform solid disk is 1/2*m*r^2.

my bad, changed.
 
I don't see anything else wrong... but I could be wrong. ^^;
 

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