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The relationship between applied torque and angle of twist is described by Hooke's Law for torsion, which states that the angle of twist (θ) is directly proportional to the applied torque (T) for a given material and geometry. This relationship can be expressed mathematically as T = GJ(θ/L), where G is the shear modulus, J is the polar moment of inertia, and L is the length of the material being twisted. As torque increases, the angle of twist increases linearly, provided the material remains within its elastic limits. Beyond this limit, the material may experience permanent deformation.
What else can I help you with?
Why does applied torque not change at 90 degrees?
At 90 degrees, the applied torque remains constant because torque is defined as the product of the force and the distance from the pivot point, multiplied by the sine of the angle between the force vector and the lever arm. At 90 degrees, the sine of the angle is 1, meaning that the entire force contributes to the torque. Therefore, while the angle changes, the magnitude of the torque does not, as it is maximized when the force is applied perpendicular to the lever arm.
When torque is maximum the angle between F and r is?
90 degrees.
Why does torque not change at 90 degrees?
Torque is defined as the product of force and the distance from the pivot point, multiplied by the sine of the angle between the force and the lever arm. When the angle is 90 degrees, the sine of 90 degrees is 1, meaning the full force is applied effectively at the maximum distance. Therefore, as long as the force and distance remain constant, the torque will not change at 90 degrees; it is at its maximum value.
What is the relationship between the measure of an angle and the reflex measure of the angle?
they both measure the angle in degrees
What is the relationship between the angle of incidence and the angle of of refraction known as?
The COEFFICIENT of Refraction.
What is the relationship between torque and angle?
Torque is a measure of the force that can cause an object to rotate around an axis. The angle through which the object rotates is proportional to the torque applied. As torque increases, the rotational angle also increases, assuming all other factors remain constant.
What is the relation between torque and speed?
Torque is a force times a distance (the distance from the rotation axis where the force is applied). The angle at which the force is applied can also play a role. It is not directly related to speed.Torque is a force times a distance (the distance from the rotation axis where the force is applied). The angle at which the force is applied can also play a role. It is not directly related to speed.Torque is a force times a distance (the distance from the rotation axis where the force is applied). The angle at which the force is applied can also play a role. It is not directly related to speed.Torque is a force times a distance (the distance from the rotation axis where the force is applied). The angle at which the force is applied can also play a role. It is not directly related to speed.
Why does applied torque not change at 90 degrees?
At 90 degrees, the applied torque remains constant because torque is defined as the product of the force and the distance from the pivot point, multiplied by the sine of the angle between the force vector and the lever arm. At 90 degrees, the sine of the angle is 1, meaning that the entire force contributes to the torque. Therefore, while the angle changes, the magnitude of the torque does not, as it is maximized when the force is applied perpendicular to the lever arm.
What are the 3 ways you can change torque?
You can change torque by adjusting the force applied, changing the distance between the force and the pivot point, or altering the angle at which the force is applied relative to the pivot point.
What is relation between torque and speed?
Torque is a force times a distance (the distance from the rotation axis where the force is applied). The angle at which the force is applied can also play a role. It is not directly related to speed.Torque is a force times a distance (the distance from the rotation axis where the force is applied). The angle at which the force is applied can also play a role. It is not directly related to speed.Torque is a force times a distance (the distance from the rotation axis where the force is applied). The angle at which the force is applied can also play a role. It is not directly related to speed.Torque is a force times a distance (the distance from the rotation axis where the force is applied). The angle at which the force is applied can also play a role. It is not directly related to speed.
What is the magnitude of the torque about the pivot point?
The magnitude of the torque about a pivot point is given by the product of the force applied and the distance from the pivot point to the line of action of the force, multiplied by the sine of the angle between the force and the lever arm. Mathematically, torque = force * distance * sin(angle).
How may you increase an applied torque without increasing the applied force?
You can increase the applied torque without increasing the applied force by increasing the length of the lever arm or by changing the angle at which the force is applied. This increases the moment arm, which in turn increases the torque for the same amount of force.
What is a factor on which torque depends?
Torque depends on three main factors: the magnitude of the force applied, the distance from the pivot point (also known as the lever arm), and the angle at which the force is applied. Specifically, torque is maximized when the force is applied perpendicularly to the lever arm. The formula for torque (τ) is τ = r × F × sin(θ), where r is the lever arm length, F is the force, and θ is the angle between the force vector and the lever arm.
What is the torque at the end of the bar?
To determine the torque at the end of a bar, you need to know the force applied and the distance from the pivot point to the point where the force is applied. Torque is calculated using the formula τ = r × F × sin(θ), where τ is the torque, r is the distance from the pivot point, F is the applied force, and θ is the angle between the force vector and the lever arm. If the force is applied perpendicularly, sin(θ) equals 1, simplifying the equation to τ = r × F.
When will the torque be zero?
Torque will be zero when the force applied is either zero or acts at the pivot point (the axis of rotation). Additionally, if the force is applied along the line of action of the lever arm, it will also result in zero torque. This occurs because torque depends on both the magnitude of the force and its distance from the pivot point, as well as the angle at which it is applied.
Does the relationship between the angle of incidence and the angle of reflection change as the angle of incidence increases?
No, the relationship between the angle of incidence and the angle of reflection remains the same regardless of the angle of incidence. This relationship is governed by the law of reflection, which states that the angle of incidence is equal to the angle of reflection.
What is the relationship between the fof angle and the angle of of2?
The relationship between the fof angle and the angle of of2 is that they are supplementary angles. This means that the sum of the fof angle and the angle of of2 is equal to 180 degrees.
