A Ferris Wheel of radius 9m, makes one revolution counter-clockwise every 20 seconds. The bottom of the wheel is located 1.5m above the ground. Riders get on at the bottom of the wheel.
Question 12 (2 points)
Sketch the graph showing two full revolutions of the ferris wheel.
To sketch the graph showing two full revolutions of the Ferris wheel, we can plot the height of the riders as the wheel rotates. Here's how you can do it:
1. Start by drawing a horizontal line to represent the ground.
2. Above the ground line, draw a vertical line to represent the center of the Ferris wheel.
3. Mark a point on the vertical line that represents the bottom of the wheel, located 1.5m above the ground.
4. This will be the starting point for our graph.
Now, let's consider the height of the riders as the wheel rotates. The Ferris wheel makes one revolution counter-clockwise every 20 seconds.
For the first 20 seconds:
- As the wheel rotates, the riders start at the bottom and gradually move upward. To represent this on the graph, draw a smooth curve that goes up from the starting point.
For the next 20 seconds:
- After completing one revolution, the riders are back at the bottom point. Draw a straight line segment from the end point of the previous curve to the bottom point, maintaining the same height of 1.5m.
For the next 20 seconds:
- As the wheel continues to rotate, the riders go up again. Draw a smooth curve that goes up from the bottom point.
Repeat these steps for two full revolutions (40 seconds in total), always connecting the end point of the previous curve to the bottom point. The graph should show a repeated pattern of curves going up and down.
Make sure to label the x-axis (time in seconds) and y-axis (height in meters) to indicate the scale of the graph.