Calculating Net Torque of Uniform Disk

Click For Summary
SUMMARY

The net torque applied to a uniform disk blade on a radial arm saw, which decelerates from 265 rad/s to 85 rad/s over 12.0 seconds, is calculated to be zero. The blade, with a radius of 0.140 m and mass of 0.400 kg, experiences an angular acceleration that opposes its initial angular velocity. The relevant equations include Torque = F(r) and angular acceleration = w2r. The conclusion is that the torque required to reduce the angular velocity is equal and opposite to the initial torque.

PREREQUISITES
  • Understanding of rotational dynamics
  • Familiarity with torque and angular acceleration concepts
  • Knowledge of the moment of inertia for solid disks
  • Basic proficiency in applying Newton's second law in rotational motion
NEXT STEPS
  • Study the moment of inertia for various shapes, focusing on solid disks
  • Learn about angular momentum and its conservation
  • Explore the relationship between torque, angular acceleration, and angular velocity
  • Investigate real-world applications of torque in mechanical systems
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the principles of rotational motion and torque calculations.

copitlory8
Messages
84
Reaction score
0
The circular blade on a radial arm saw is turning at 265 rad/s at the instant the motor is turned off. In 12.0 s the speed of the blade is reduced to 85 rad/s. Assume the blade to be a uniform solid disk of radius 0.140 m and mass 0.400 kg. Find the net torque applied to the blade.

Relevant Equations:
Torque net = 0
Torque= F(r)
F=ma
angular accel. = w2r

Attempt:
[tex]\sum[/tex]Torque=(.4)(265)2(.14)(.14) +(.4)(85)2(.14)(.14)
I known I need to sum the forces but I am unsure of what direction to use.
 
Physics news on Phys.org
Answer:The net torque applied to the blade is zero. The angular acceleration of the blade must be in the opposite direction of the angular velocity, so the torque applied to reduce the angular velocity must be equal and opposite to the initial torque that caused the angular velocity. Therefore, the net torque is zero.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
8K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 7 ·
Replies
7
Views
20K
  • · Replies 27 ·
Replies
27
Views
7K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 19 ·
Replies
19
Views
6K
  • · Replies 4 ·
Replies
4
Views
9K
  • · Replies 27 ·
Replies
27
Views
5K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
5
Views
2K