Torque and Force Quiz with Answers: Test Your Knowledge

📚 Quick Study Guide

🔍 Force: A push or pull that can cause an object to accelerate. Measured in Newtons (N). Formula: $F = ma$ (Force = mass x acceleration).

🍎 Torque: A twisting force that tends to cause rotation. Measured in Newton-meters (Nm).

⚙️ Torque Formula: $\tau = rF\sin(\theta)$, where $\tau$ is torque, $r$ is the distance from the axis of rotation to the point where the force is applied, $F$ is the magnitude of the force, and $\theta$ is the angle between the force vector and the lever arm.

💪 Relationship between Force and Torque: Torque is the rotational equivalent of linear force.

📏 Lever Arm: The perpendicular distance from the axis of rotation to the line of action of the force.

💡 Equilibrium: For an object to be in rotational equilibrium, the net torque acting on it must be zero.

➕ Net Torque: The sum of all torques acting on an object.

Practice Quiz

1. A force of 20 N is applied to a wrench at a distance of 0.3 m from the bolt. If the angle between the wrench and the force is 90 degrees, what is the torque applied to the bolt?
   1. A) 6 Nm
   2. B) 10 Nm
   3. C) 60 Nm
   4. D) 0.6 Nm
2. What is the SI unit of torque?
   1. A) Newton (N)
   2. B) Joule (J)
   3. C) Newton-meter (Nm)
   4. D) Watt (W)
3. A seesaw is balanced. A child of mass 30 kg sits 1.5 m from the pivot. Where must a child of mass 45 kg sit to balance the seesaw?
   1. A) 1 m from the pivot
   2. B) 0.5 m from the pivot
   3. C) 2 m from the pivot
   4. D) 2.25 m from the pivot
4. If the net torque on an object is zero, the object is said to be in:
   1. A) Linear equilibrium
   2. B) Rotational equilibrium
   3. C) Static equilibrium
   4. D) Dynamic equilibrium
5. Which of the following factors does NOT affect the torque produced by a force?
   1. A) Magnitude of the force
   2. B) Distance from the axis of rotation
   3. C) Angle between the force and the lever arm
   4. D) Mass of the object
6. A door requires a torque of 12 Nm to open. If you apply a force of 4 N, how far from the hinges must you apply the force?
   1. A) 3 m
   2. B) 4 m
   3. C) 48 m
   4. D) 0.33 m
7. What is the angle between the force and the lever arm when the torque is maximum for a given force and distance?
   1. A) 0 degrees
   2. B) 45 degrees
   3. C) 90 degrees
   4. D) 180 degrees