Physics: Torque Questions Quiz

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Questions and Answers

What is the correct SI unit for torque?

  • N/m²
  • kg²⋅m²
  • N/m2
  • Nâ‹…m (correct)

When the net torque is negative, which direction does the object rotate?

  • Counterclockwise
  • No rotation occurs
  • Clockwise (correct)
  • The direction cannot be determined

Which scenario would result in the greatest amount of torque exerted on a door?

  • A force applied at an angle of 30 degrees to the door
  • A force applied at a distance of 1 m from the axis of rotation
  • A force applied at a distance of 0.5 m from the axis of rotation
  • A force applied perpendicular to the door (correct)

What is the total torque acting on the object when considering all three forces?

<p>112.33 Nm (A)</p> Signup and view all the answers

What happens to the required force if the handle of the door is moved from the edge to the center?

<p>Twice as much force would be needed. (C)</p> Signup and view all the answers

If a force is applied at a distance shorter than the previous distance from the axis of rotation, what happens to the torque produced?

<p>Torque decreases (A)</p> Signup and view all the answers

In the given sample problem, what force does the second player apply in relation to the axis of rotation?

<p>An upward force (A)</p> Signup and view all the answers

What is the effect of increasing the distance from the pivot point when applying a force?

<p>It increases the torque. (A)</p> Signup and view all the answers

What would be the torque produced by the force F3 if the distance d3 is specified as 4m instead of a variable?

<p>15.63 Nm (A)</p> Signup and view all the answers

How do braces apply torque in orthodontics?

<p>By applying force at a distance from the base of the teeth. (A)</p> Signup and view all the answers

What effect does increasing the distance from the axis of rotation have on torque, given the same applied force?

<p>It increases torque due to a longer lever arm. (A)</p> Signup and view all the answers

Which of the following correctly describes the relationship in the equation τ = F × d sin θ?

<p>Torque can be calculated by multiplying force by the sine of the angle. (A)</p> Signup and view all the answers

How does the direction of torque change with the direction of applied force?

<p>Torque direction is determined by the angle of applied force relative to the lever arm. (A)</p> Signup and view all the answers

In which scenario would the torque produced be zero?

<p>When the force is applied at the axis of rotation. (A)</p> Signup and view all the answers

What is the SI unit of torque?

<p>Newton meter (A)</p> Signup and view all the answers

What is the torque exerted when the string of a simple pendulum makes a 15.0° angle with the vertical?

<p>15.23 Nâ‹…m (A)</p> Signup and view all the answers

Which of the following scenarios should be treated as an extended object?

<p>A ball rolling toward the goal (A), A pinwheel in the wind (B)</p> Signup and view all the answers

What is the primary dependency of torque when calculating its value?

<p>Force, lever arm, and angle (A)</p> Signup and view all the answers

If a wrench has a length of 30.0 cm, what minimum force is required to exert a torque of 40.0 Nâ‹…m?

<p>133.33 N (C)</p> Signup and view all the answers

Which condition describes the setup of a simple pendulum effectively functioning in its torque calculation?

<p>A point mass hanging with a string making a fixed angle with the vertical (C)</p> Signup and view all the answers

Which of the following forces will not contribute to torque about the axis at the left end of the rod?

<p>$F_1$, because its lever arm is zero (D)</p> Signup and view all the answers

What characteristic of a force determines whether it produces a greater torque on an object?

<p>Both B and C combined (D)</p> Signup and view all the answers

If two equal and opposite forces act on the same point of an object, what is the resultant torque on the object?

<p>It will be zero because force direction cancels out (C)</p> Signup and view all the answers

Calculate the torque produced by a 54 kg bucket hanging straight down from a stationary cylinder of radius 0.050 m.

<p>26.487 N.m (C)</p> Signup and view all the answers

What would be the magnitude of the maximum torque the crane can withstand with a load of 450 N at a 20° angle with the horizontal?

<p>6343 × $10^{-3}$ N.m (C)</p> Signup and view all the answers

What is the value of the force (F) calculated from a torque (τ) of 6.343 × 10³ N⋅m, distance (d) of 15 m, and an angle (θ) of 50°?

<p>552 N (C)</p> Signup and view all the answers

Which of the following conditions results in zero torque acting on an object?

<p>Force crosses the axis. (D)</p> Signup and view all the answers

When evaluating the torque produced by a force, how does increasing the lever arm length affect the resulting torque?

<p>It increases the torque for a constant force. (D)</p> Signup and view all the answers

What is the calculated force (F) when the torque (τ) is 58 N⋅m, distance (d) is 0.35 m, and the angle (θ) is 56°?

<p>199.88 N (D)</p> Signup and view all the answers

What role do cheater bars play in mechanical applications?

<p>They increase the lever arm, thereby increasing torque. (A)</p> Signup and view all the answers

Flashcards

Torque (Ï„)

A measure of a force's ability to cause rotation around an axis.

Lever arm (d sin θ)

The perpendicular distance from the axis of rotation to the force's line of action.

Torque Equation

τ = F × d sin θ, where τ is torque, F is force, d is lever arm, and θ is the angle between F and d.

Positive Torque

Torque that causes counter-clockwise rotation.

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Negative Torque

Torque that causes clockwise rotation.

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Net Torque

The sum of all torques acting on an object. It determines the object's overall rotational motion.

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Torque Sign Convention

Positive torque causes counter-clockwise rotation, while negative torque causes clockwise rotation.

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Lever Arm

The shortest distance between the axis of rotation and the line of action of a force.

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Torque and Lever Arm Relationship

Increasing the lever arm increases the torque, while decreasing it decreases the torque.

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Torque Unit

The standard unit for torque is the Newton-meter (Nâ‹…m).

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Torque & Door Handle

Moving the door handle to the middle of the door doubles the force needed to open it.

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Torque & Penny-Farthing

A longer pedal arm on a penny-farthing bicycle produces greater torque on the front wheel.

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Force at Hinge

Applying force directly at the hinge of a door cannot open it. It can only break it.

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Orthodontist & Torque

Braces apply torque to teeth by applying force at a distance from the base of the teeth, the axis of rotation.

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Torque & Rotation

Positive torque causes counterclockwise rotation, while negative torque causes clockwise rotation.

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When is an object treated as a point mass?

An object is treated as a point mass if its dimensions are negligible compared to the distance it travels or its motion does not involve rotation. In simpler terms, it acts as if it's concentrated in a single point.

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When is an object treated as an extended object?

An object is treated as an extended object if its dimensions are significant and contribute to its motion, especially if it’s rotating.

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What is the rotational analog of force?

Torque is the rotational analog of force. Just as force causes linear acceleration, torque causes angular acceleration. It's the twisting or turning effect of a force.

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What are the factors affecting torque?

Torque depends on three factors - force, lever arm, and the angle between the force and lever arm. A larger force, longer lever arm, or a larger angle all lead to greater torque.

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Torque Dependence on Force & Angle

The amount of torque produced by a force depends on both the magnitude of the force and the angle between the force and the lever arm.

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Torque Zero when Force Acts at Axis

When a force acts directly on the axis of rotation, it produces no torque. This is because the lever arm is zero.

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Equal Forces, Different Torques

Forces with equal magnitudes can produce different torques depending on their lever arms (distances from the axis of rotation).

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Maximum Torque?

The maximum torque occurs when the force is applied perpendicular to the lever arm (angle = 90 degrees).

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Torque on a Crane

A crane's ability to lift heavy loads depends on its torque, which is influenced by the length of the crane arm and the angle it makes with the horizontal.

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Cheater Bar

A tool mechanics use to increase torque on a bolt. It's usually a pipe that fits over a wrench handle, extending the lever arm.

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Angle (θ) in Torque

The angle between the force vector and the lever arm, measured in degrees.

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