How far off the ground are Al and Betty at each of the following times. Show your work:a. 5 seconds after passing the 3 o’clock position?b. 10 seconds after passing the 3 o’clock position?c. 12 seconds after passing the 3 o’clock position? **The Ferris Wheel**Al and Betty have gone to the amusement park to ride on a Ferris wheel. The wheel in the park has a radius of 15 feet, and its center is 20 feet above ground level. Assume it takes 24 seconds to make a complete revolution.You can describe the various positions in the cycle of the Ferris wheel in terms of the face of a clock, as indicated in the accompanying diagram. Think of Al and Betty’s location as they ride as simply a point on the circumference of the wheel’s circular path. That is, ignore the size of the Ferris wheel seats, Al and Betty’s own heights, and so on.*Imagine the positions of the wheel in a clockwise manner starting from the topmost point to the bottommost point being described in a clock-like format.***Answer the following questions:** **Understanding Ferris Wheel Motion Through Clock Positions**In this educational illustration, we analyze the positions on a Ferris wheel relative to the face of a clock to understand the wheel's motion.**Diagram Explanation:**This diagram represents a Ferris wheel juxtaposed with a clock face to indicate the positions of the cabins at different times. The numbers "12:00" through "11:00" are marked around the wheel, similar to the hour markers on a clock. Each numeral corresponds to a specific position on the Ferris wheel:- **12:00** - The topmost point of the Ferris wheel.- **3:00** - The rightmost point of the Ferris wheel.- **6:00** - The bottommost point of the Ferris wheel.- **9:00** - The leftmost point of the Ferris wheel.This setup helps to visualize the movement and position of the Ferris wheel cabins as it rotates. Each hour marking around the edge of the wheel allows for easy identification of cabin positions at specific rotational points, similar to reading time on a clock.Understanding this concept is beneficial for grasping how Ferris wheel mechanics work and provides an analogy to time-telling, enhancing spatial awareness and rotational symmetry comprehension.---This information provides foundational knowledge for students studying rotational motion and can be applied in physics and engineering contexts to illustrate concepts like angular velocity, centripetal forces, and periodic motion.

The clock completes a rotation in 24 seconds.

How far off the ground are Al and Betty at each of the following times. Show your work: a. 5 seconds after passing the 3 o’clock position? b. 10 seconds after passing the 3 o’clock position? c. 12 seconds after passing the 3 o’clock position?

How far off the ground are Al and Betty at each of the following times. Show your work: a. 5 seconds after passing the 3 o’clock position? b. 10 seconds after passing the 3 o’clock position? c. 12 seconds after passing the 3 o’clock position?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter1: Variables, Expressions, And Integers

Section1.8: The Coordinate Plane

Problem 15E

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stacie is driving 60 mph in a car whose wheels have a 30 inch diameter. find the angular speed of the wheels
A Ferris wheel that if 60 feet in diameter makes a revolution every 80 seconds. If the centre of the wheel is 35 feet above the ground, how long does it take for a rider (who starts his journey at the bottom of the wheel) to reach a height of 50 feet?
Guadalupe boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple rotations. The Ferris wheel's radius is 15 meters long and the center of the Ferris wheel is 19 meters above the ground. Imagine an angle with its vertex at the Ferris wheel's center that subtends the path Jane has traveled. The Ferris wheel rotates at a constant rate so that the angle sweeps out 7 radians per minute. How long does it take for Guadalupe to complete one full rotation around the Ferris wheel? 7 ≈ 0.467 minutes 15 15 2.143 minutes 7 2π ≈ 0.898 minutes 7 7 1.114 minutes 2π 2TT. 15 7 13.464 minutes
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