Question: A door is pushed at its edge with a force of 50 N. If the width of the door is 1 m, what is the torque about the hinges?
Options:
25 Nm
50 Nm
75 Nm
100 Nm
Correct Answer: 50 Nm
Solution:
Torque (τ) = Force (F) × Distance (r) = 50 N × 1 m = 50 Nm.
A door is pushed at its edge with a force of 50 N. If the width of the door is 1
Practice Questions
Q1
A door is pushed at its edge with a force of 50 N. If the width of the door is 1 m, what is the torque about the hinges?
25 Nm
50 Nm
75 Nm
100 Nm
Questions & Step-by-Step Solutions
A door is pushed at its edge with a force of 50 N. If the width of the door is 1 m, what is the torque about the hinges?
Correct Answer: 50 Nm
Step 1: Identify the force applied to the door. In this case, the force is 50 N.
Step 2: Identify the distance from the hinges to the point where the force is applied. Here, the distance is the width of the door, which is 1 m.
Step 3: Use the formula for torque, which is Torque (τ) = Force (F) × Distance (r).
Step 4: Substitute the values into the formula: τ = 50 N × 1 m.
Step 5: Calculate the torque: Ï„ = 50 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).
Lever Arm – The distance from the pivot point to the point where the force is applied, which is crucial for calculating torque.
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