How does the angle of applied force affect the magnitude of torque?Select one:a.Torque is maximum when the angle is 0°b.Torque decreases as the angle increases from 0° to 90°c.Torque increases as the angle increases from 0° to 90°d.Torque is maximum when the angle is 180°
Question
How does the angle of applied force affect the magnitude of torque?Select one:a.Torque is maximum when the angle is 0°b.Torque decreases as the angle increases from 0° to 90°c.Torque increases as the angle increases from 0° to 90°d.Torque is maximum when the angle is 180°
Solution
The correct answer is c. Torque increases as the angle increases from 0° to 90°.
Here's why:
Torque (τ) is the rotational equivalent of linear force. It is the product of the force (F) that causes the rotation and the distance (r) from the point of rotation to the point where the force is applied. The angle (θ) between the force vector and the lever arm vector also plays a crucial role. The relationship is given by the formula:
τ = r * F * sin(θ)
As you can see from the formula, the sine of the angle is taken. The sine function has its maximum value at 90°. Therefore, the torque is maximum when the force is applied perpendicularly (90°) to the lever arm.
So, as the angle increases from 0° to 90°, the value of sin(θ) increases, which in turn increases the torque. Beyond 90°,
Similar Questions
Which factor does the torque on an object NOT depend on?Group of answer choicesthe object's angular velocitythe angle at which the force is appliedthe magnitude of the applied force
In relation to force, what does "magnitude" refer to?Group of answer choicesHow much force is applied.The angle at which force is applied.The acceleration of the force.The length of time force is applied for.
Which of the following factors affects the magnitude of torque produced by a force?*1 pointA. Force and distance from the pivot pointB. Mass and velocityC. Friction and accelerationD. Density and volume
Two forces equal in magnitude have a resultant with its magnitude equal to either. The anglebetween them is
What is the magnitude of the torque if the force is exerted at a 60.0 ∘∘ angle to the face of the door?Express your answer using two significant figures.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.