A Ferris wheel has a radius of 10 feet and is boarded in the 6 o’clock...

A Ferris wheel has a radius of 10 feet and is boarded in the 6 o’clock position from a platform that is 3 feet above the ground. The wheel turns counterclockwise and completes a revolution every 3 minutes. At t = 0 the person is at the 6 o’clock position.

1. Draw a diagram and impose coordinates

2. Find a function, F(t), for the height of the person above the ground after t minutes

3. Find two times when a passenger is at a height of 18.0 feet.

4. How far does a rider travel along the circle if they travel from the boarding point on the bottom of the Ferris wheel to the top of the Ferris wheel?

Solutions

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

A Ferris wheel has a radius of 25 m. At its maximum speed, the seats are...

A Ferris wheel has a radius of 25 m. At its maximum speed, the seats are moving at 9 m/s. A dog is sitting on a spring scale on one of the seats on the wheel. When the wheel is not moving, the scale registers 240 N. When the wheel is turning at its maximum speed, what weight does the scale register at the lowest point of the circular path of the Ferris wheel (i.e., at the bottom of the...

A man whose mass is 60 kg rides a Ferris wheel that has a radius of...

A man whose mass is 60 kg rides a Ferris wheel that has a radius of 20 m. The man has a scale available in the cart he is riding. If his speed during the ride is a constant 5 m/s, what would the scale read at top of the ride? Please show your work. Thank you :)

Ferris wheel has a radius of 10.7m and completes one revolution every 42 seconds. a. Draw...

Ferris wheel has a radius of 10.7m and completes one revolution every 42 seconds. a. Draw a FBD for a rider on the Ferris wheel. b. Write a ΣFy equation for the rider at the bottom of the wheel. c. Write a ΣFy equation for the rider at the top of the wheel. d. Find the apparent weight of a rider of mass 72 kg at the bottom of the wheel. e. Find the apparent weight of a rider of...

A woman rides on a Ferris wheel of radius 16m that maintains thesame speed throughout...

A woman rides on a Ferris wheel of radius 16m that maintains the same speed throughout its motion. To better understand physics, she takes along a digital bathroom scale (with memory) and sits on it. When she gets off the ride, she uploads the scale readings to a computer and creates a graph of scale reading versus time. (Figure 1) Note that the graph has a minimum value of 510N and a maximum value of 666N. The acceleration due to...

A woman rides on a Ferris wheel of radius 16m that maintains the same speed throughout...

A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center,...

A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center, as shown in the figure below. The linear speed of a passenger on the rim is constant and equal to 6.30m/s. A) What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion? Express your answer in meters per second squared to three significant figures. B) What is the direction of the passenger's acceleration as she...

A woman rides a carnival Ferris wheel at radius 21 m, completing 4.5 turns about its...

A woman rides a carnival Ferris wheel at radius 21 m, completing 4.5 turns about its horizontal axis every minute. What are (a) the period of the motion, and the magnitude of her centripetal acceleration at (b) the highest point and (c) the lowest point?

A conical tank, point down, has a radius of 6 feet and a depth of 9...

A conical tank, point down, has a radius of 6 feet and a depth of 9 feet. Water is filling the tank and thus the volume of water in the tank is changing with time, as is the depth of the water and the radius of the surface of the water. Suppose that at the instant the depth of the water is 4 feet, the depth of the water is changing at an instantaneous rate of0.125 feet per minute. How...

Assignment – The World’s Largest Ferris Wheels The Singapore Flyer is a giant Ferris wheel located...

Assignment – The World’s Largest Ferris Wheels The Singapore Flyer is a giant Ferris wheel located in Singapore. Described by its operators as an observation wheel, it reaches 42 stories high, with a total height of 165 m, making it the tallest Ferris wheel in the world. Situated on the southeast tip of the Marina Centrereclaimed land, it comprises a 150 m diameter wheel, built over a three- story terminal building which houses shops, bars and restaurants. Each of the...

A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center (the figure (Figure 1)).

A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center (the figure (Figure 1)). The linear speed of a passenger on the rim is constant and equal to 7.49 m/s1-What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion?2-What is the direction of the passenger's acceleration as she passes through the lowest point in her circular motion?3-What is the magnitude of the passenger's acceleration as...

Subjects