Question

1. which angle will produce the most torque when it is applied to a lever arm? 180° 75° 90° 45°

Explanation:

Step1: Recall torque formula

Torque is given by $\tau = rF\sin\theta$, where $\theta$ is the angle between the lever arm ($r$) and the applied force ($F$).

Step2: Analyze $\sin\theta$ values

The maximum value of $\sin\theta$ is 1, which occurs when $\theta = 90^\circ$. For the other angles:

• $\sin(180^\circ) = 0$
• $\sin(75^\circ) \approx 0.966$
• $\sin(45^\circ) \approx 0.707$

Step3: Identify maximum torque

Since $\sin(90^\circ)$ is the largest, $\tau$ is maximized at $\theta = 90^\circ$.

Answer:

90°