Physics Worksheet

🔧 Torque

Chapter: Mechanics · Level ★★☆ · Time: 30 min

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After this worksheet you can

Understand: Torque DefinitionUnderstand: Lever ArmUnderstand: Direction of TorqueUnderstand: Newton's Second Law for Rotation

📚 Quick Recap

Torque measures the twisting or turning effect of a force — the same push can barely budge a door or swing it wide open, depending on where and how you push.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1A 25 N force is applied perpendicular to a wrench, 0.4m from the bolt. Find torque.

2A 12 N force is applied at 60° to a lever, 0.6m from the pivot (sin(60°)~0.866). Find torque.

3A seesaw has a 500 N person at 1.5m; find the distance needed for a 250 N person to balance it.

4Why does pushing a door near its hinges require much more force than pushing near the handle?

🧮 Section B · Problem Solving ● INTERMEDIATE 4 × 3 = 12

5A wrench experiences 15 N*m of torque with a 0.5m handle. Find the perpendicular force applied.

6An object has moment of inertia 4 kg*m^2 and angular acceleration 3 rad/s^2. Find the net torque.

7Why is torque considered to have a direction (clockwise/counterclockwise), unlike simple force magnitude?

8Two torques act on a bar: 20 N*m clockwise and 20 N*m counterclockwise. What is the net torque?

🚀 Section C · Challenge ● CHALLENGE 2 × 2 = 4

9A 100 N force is applied parallel to a lever arm (theta=0°). Find the torque produced.

10Why is a longer wrench handle generally easier to use for loosening a tight bolt?

💭 Reflection — the most useful thing I learned:

A ___/4 B ___/12 C ___/4 Total ___/20 Teacher's Signature Parent's Signature

✂ answer key — fold or cut before handing out

1 = 10 N*m 2 = ≈6.24 N*m 3 = 500*1.5=250*d, d=3m 4 = Torque depends on the distance from the pivot (lever arm); a smaller distance requires more force to produce the same torque | 5 = 15=F*0.5, F=30N 6 = tau=4*3=12 N*m 7 = Torque describes a rotational effect, and rotation can occur in one of two directions around the axis 8 = 0 N*m (rotational equilibrium) | 9 = 0 N*m, since sin(0°)=0 10 = A longer lever arm produces more torque for the same applied force