What is the net torque on a wheel with given dimensions and direction?

In summary, the conversation discusses finding the net torque on a wheel about an axle through a given point, with specified values for a and b. Various equations and calculations are mentioned, and there is some confusion about a 30 degree angle. Ultimately, it is determined that the angle was included to confuse and the final answer is found to be -2.96.
  • #1
aaronb
23
0

Homework Statement


find the net torque on the wheel about the axle through O, taking a = 7.00cm and b = 20.00cm. Assume the positive direction is counterclockwise


Homework Equations


torque = force x distance
torque = force x (radius x sin(phi))


The Attempt at a Solution


10.0 x .2m = -2 (because it's moving clockwise)
9.00 x .2m = -1.8
.07 x 12 x sin(30) = .42

net torque = -3.38 (this is off by 10%-100%)
 

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  • #2
I don't understand what the 30 degree angle represents.
 
  • #3
Me niether, do you think it was put there to confuse?
 
  • #4
aaronb said:
Me niether, do you think it was put there to confuse?
Beats me. It looks like the 12 N force is tangential to the circle of radius a. Is that the case?
 
  • #5
It is there to confuse. The net torque turned out to be -2.96 so the 12N force is tangential. Thanks for bringing that up to attention
 

Related to What is the net torque on a wheel with given dimensions and direction?

1. What is torque?

Torque is a measure of the force that causes an object to rotate around an axis. It is calculated by multiplying the force applied to the object by the distance from the axis of rotation to the point of force application.

2. How is torque different from force?

While force is a vector quantity that describes the push or pull on an object, torque is a vector quantity that describes the rotational effect of a force on an object. Force is measured in units of Newtons, while torque is measured in units of Newton-meters.

3. What is the vector product?

The vector product, also known as the cross product, is a mathematical operation that combines two vectors to produce a third vector. It is used to calculate torque, as well as other physical quantities such as angular momentum and magnetic fields.

4. How is torque related to the vector product?

Torque is calculated by taking the vector product of the force vector and the distance vector from the axis of rotation. This means that the direction of the torque is perpendicular to both the direction of the force and the distance from the axis of rotation.

5. What is the right-hand rule in torque calculations?

The right-hand rule is a convention used in torque calculations to determine the direction of the resulting torque vector. It states that if the fingers of your right hand curl in the direction of the force vector, then your thumb will point in the direction of the resulting torque vector.

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