Pendulum Motion and Arc Length

The video tutorial explains how to calculate the distance traveled by a 12-inch pendulum swinging at a 75-degree angle. It introduces the concept of arc length and demonstrates the calculation process, emphasizing the need to double the result for a back-and-forth swing. The tutorial uses the formula for arc length, simplifies the calculation, and concludes with the final answer.

What is the length of the pendulum mentioned in the problem?

• 15 inches

• 12 inches

• 18 inches

• 10 inches

At what angle does the pendulum swing?

• 45 degrees

• 75 degrees

• 90 degrees

• 60 degrees

What is the term used to describe the part of the curve the pendulum travels?

• Sector area

• Arc length

• Chord length

• Radius

Why do we need to double the arc length calculation in this problem?

• To include both directions of the swing

• To account for the pendulum's weight

• To correct the angle measurement

• To adjust for the pendulum's length

What is the formula used to calculate the arc length in this problem?

• Measure over 180 times diameter times pi

• Measure over 360 times radius times pi

• Measure over 360 times diameter times pi

• Measure over 180 times radius times pi

What is the final numerical answer for the distance traveled by the pendulum?

• 47.1

• 15.7

• 62.8

• 31.4