Question: If the angle between the force and the lever arm is 90 degrees, what is the torque produced by a 15 N force applied at a distance of 2 m?
Options:
0 Nm
15 Nm
30 Nm
45 Nm
Correct Answer: 30 Nm
Solution:
Torque (τ) = F × d × sin(θ) = 15 N × 2 m × sin(90°) = 30 Nm.
If the angle between the force and the lever arm is 90 degrees, what is the torq
Practice Questions
Q1
If the angle between the force and the lever arm is 90 degrees, what is the torque produced by a 15 N force applied at a distance of 2 m?
0 Nm
15 Nm
30 Nm
45 Nm
Questions & Step-by-Step Solutions
If the angle between the force and the lever arm is 90 degrees, what is the torque produced by a 15 N force applied at a distance of 2 m?
Correct Answer: 30 Nm
Step 1: Identify the formula for torque, which is τ = F × d × sin(θ).
Step 2: Determine the values given in the problem: the force (F) is 15 N, the distance (d) is 2 m, and the angle (θ) is 90 degrees.
Step 3: Calculate sin(90°). The sine of 90 degrees is 1.
Step 4: Substitute the values into the torque formula: τ = 15 N × 2 m × 1.
Step 5: Perform the multiplication: 15 N × 2 m = 30 Nm.
Step 6: Conclude that the torque produced is 30 Nm.
Torque Calculation – Torque is calculated using the formula τ = F × d × sin(θ), where F is the force, d is the distance from the pivot point, and θ is the angle between the force and the lever arm.
Understanding Angles – Recognizing that sin(90°) equals 1 is crucial for simplifying the torque calculation.
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