The brakes on a bicycle are applied using a downward force of *F* = 16 pounds on the pedal when the crank makes a 40° angle with the horizontal (see figure). The crank is 6 inches in length. Find the torque at *P*. (Round your answer to two decimal places.)

To find the torque at point \( P \), we can use the formula for torque:

\[
\text{Torque} = r \times F \times \sin(\theta)
\]

where:
- \( r \) is the length of the crank (6 inches),
- \( F \) is the applied force (16 pounds),
- \( \theta \) is the angle between the force and the horizontal (40°),
- \( \sin(\theta) \) accounts for the perpendicular component of the force relative to the crank.

Now, let me calculate this for you.The torque at point \( P \) is approximately **61.71 inch-pounds**.

Would you like more details or have any further questions?

Here are 5 related questions that expand on this concept:

1. How does changing the angle of the crank affect the torque?
2. What happens to the torque if the length of the crank is increased to 8 inches?
3. How would the torque change if the applied force is doubled?
4. Can you explain the concept of torque in a rotational system versus a linear system?
5. What role does the sine function play in calculating torque?

**Tip:** Torque depends not just on the applied force but also on the angle of application, which determines how effectively the force contributes to rotation.

Learn how to calculate torque at point P on a bicycle using the applied force of 16 pounds and an angle of 40 degrees. This physics problem involves understanding torque, force application angles, and the relationship with crank length. Suitable for high school students.

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