Finding the net torque about the axle?

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The discussion focuses on calculating the net torque about an axle for a rotating disk with specified forces and distances. The user initially computes the torques from four forces, resulting in a total of -4.9196 N*m, which is incorrect. The error is identified as a miscalculation due to the calculator being set to radians instead of degrees when calculating sin(45). The user thanks the contributors for their assistance in identifying the mistake.
Kyp
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Homework Statement


The 29.5cm diameter disk rotates counterclockwise on an axle through its center. F1=20.8N, F2=58.6N, F3=58.6N, F4=20.8N, and d=5.27cm. What is the net torque about the axle? Let the counterclockwise direction be positive.

Homework Equations


Torque = force (perpendicular) x distance (from pivot point)

The Attempt at a Solution


F1 = 0 N*m
F2 = 58.6 N x 0.1475m = -8.6435 N*m (clockwise)
F3 = 0.0527m x 58.6 sin45 N = 2.627777283 N*m (counterclockwise)
F4 = 0.0527m x 20.8 N = 1.09616 N*m (counterclockwise)
Therefore torque is -4.9196 N*m.
However that is apparently not the answer... What am i doing wrong? :/
 

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check.. F3 = 0.0527m x 58.6 sin45 N = 2.627777283 N*m
 
Kyp said:

Homework Statement


The 29.5cm diameter disk rotates counterclockwise on an axle through its center. F1=20.8N, F2=58.6N, F3=58.6N, F4=20.8N, and d=5.27cm. What is the net torque about the axle? Let the counterclockwise direction be positive.

Homework Equations


Torque = force (perpendicular) x distance (from pivot point)

The Attempt at a Solution


F1 = 0 N*m
F2 = 58.6 N x 0.1475m = -8.6435 N*m (clockwise)
F3 = 0.0527m x 58.6 sin45 N = 2.627777283 N*m (counterclockwise)
F4 = 0.0527m x 20.8 N = 1.09616 N*m (counterclockwise)
Therefore torque is -4.9196 N*m.
However that is apparently not the answer... What am i doing wrong? :/
Everything is correct, you miscalculated something. sin(45)?
 
I had my calculator in radians... Thank you guys :/
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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