Question: A door is pushed at its edge with a force of 20 N. If the width of the door is 1 m, what is the torque about the hinges?
Options:
10 Nm
20 Nm
30 Nm
40 Nm
Correct Answer: 20 Nm
Solution:
Torque (τ) = F × d = 20 N × 1 m = 20 Nm.
A door is pushed at its edge with a force of 20 N. If the width of the door is 1
Practice Questions
Q1
A door is pushed at its edge with a force of 20 N. If the width of the door is 1 m, what is the torque about the hinges?
10 Nm
20 Nm
30 Nm
40 Nm
Questions & Step-by-Step Solutions
A door is pushed at its edge with a force of 20 N. If the width of the door is 1 m, what is the torque about the hinges?
Correct Answer: 20 Nm
Step 1: Identify the force applied to the door. In this case, the force is 20 N.
Step 2: Identify the distance from the hinges to the point where the force is applied. The width of the door is 1 m.
Step 3: Use the formula for torque, which is Torque (τ) = Force (F) × Distance (d).
Step 4: Substitute the values into the formula: τ = 20 N × 1 m.
Step 5: Calculate the torque: Ï„ = 20 Nm.
Torque – Torque is the rotational equivalent of linear force, calculated as the product of the force applied and the distance from the pivot point (hinges in this case).
Force and Distance Relationship – Understanding how force applied at a distance from a pivot point affects rotational motion.
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