Modeling Ferris Wheel Motion

Adele Kumar explains the application of a Ferris wheel model through seven multiple-choice questions. The video covers calculating time for rotations, determining maximum height, finding height at specific times, and calculating distance traveled and angular velocity. The focus is on understanding the sine function and its parameters, including time period, phase shift, and amplitude, to solve these problems.

What is the main focus of the video tutorial?

• Designing a new Ferris wheel

• Calculating the weight of a Ferris wheel

• Modeling the height of a basket on a Ferris wheel

• Understanding the Ferris wheel's speed

What is the equation used to model the height of the basket?

• H(t) = 220 - 18 sin(2π/3 t - 1)

• H(t) = 220 + 18 cos(2π/3 t - 1)

• H(t) = 220 + 18 sin(2π/3 t - 1)

• H(t) = 220 - 18 cos(2π/3 t - 1)

How is the time period of the basket's motion defined?

• 2π divided by the amplitude

• 2π divided by the frequency

• 2π divided by the angular velocity

• 2π divided by the phase shift

How long does it take for the basket to complete three full rotations?

• 6 minutes

• 9 minutes

• 12 minutes

• 15 minutes

What is the significance of the negative sign in the sine function?

• It indicates the sine wave starts from the maximum

• It indicates the sine wave starts from the minimum

• It indicates a phase shift to the right

• It indicates a phase shift to the left

At what time does the basket reach its maximum height?

• 3 minutes

• 5 minutes

• 13/4 minutes

• 4 minutes

What is the maximum height of the basket?

• 40 meters

• 20 meters

• 18 meters

• 38 meters

When is the basket exactly 20 meters above the ground?

• At t = 1

• At t = 3

• At t = 0

• At t = 2

How do you convert 75 seconds into minutes for the calculation?

• Divide by 30

• Divide by 60

• Multiply by 60

• Multiply by 30

What is the height of the basket after 75 seconds?

• 15 meters

• 25 meters

• 11 meters

• 20 meters