ValleyFair Data Sheet

This data sheet to use to make the CALCULATIONS ON THE SECOND PAGE.

Distance Pace Ratio - 11 paces = 10 m

Ferris Wheel

Task	Data
Two angles and distance between them at highest point	Angle 1: = 20.7 Angle 2: = 22.7 Distance between: = 10 meters
Two angles and distance between them at lowest point	Angle 1: = 2.1 Angle 2: = 3.1 Distance between: = 10 meters
Time of 1 revolution	28 seconds
Maximum ride mass in gondola	4 seats

Wild Thing

The length of the track is 1664m.

Task	Data/Formula
Time for complete trip	140 seconds
Length of train	21 paces
Time for train to pass top of tow hill	8 seconds
Two angles and a distance between for tow hill	Angle 1: = 14.6 Angle 2: = 15.3 Distance between = 10 m
Time for train to pass the top of second hill	3 seconds
Two angles and a distance between for second hill	Angle 1: = 8.2 Angle 2: = 8.8 Distance between: = 10 meters

Carousel

Task	Data/Formula
Time of 1 revolution	22 Seconds
Circumference of the outside path	55 paces
Distance from the inside rider to the outside rider	3.5 paces

THIS IS THE SECOND PAGE WHERE CALCULATIONS SHOULD BE MADE USING THE DATA PROVIDED IN THE TABLES ABOVE

Trip Data and Calculations

ValleyFair Ride Data and Calculations

For all rides, we will use the average mass of 65 kg per rider.

Ferris Wheel

Task	Data/Formula	Result
Two angles and distance between them at highest point
Two angles and distance between them at lowest point
Diameter of the ride
Time of 1 revolution
Average angular speed
Tangential speed of gondola
Maximum ride mass in gondola
Centripetal acceleration of ride
Force provided by the seats at the bottom of ride at maximum mass
Force provided by the seats at the top of ride at maximum mass

Wild Thing

The length of the track is 1664m.

Task	Data/Formula	Result
Time for complete trip
Average speed of ride
Length of train
Time for train to pass top of tow hill
Speed on top of tow hill
Two angles and a distance between for tow hill
Height of tow hill
Total energy for the tow hill
Time for train to pass the top of second hill
Speed at top of second hill
Two angles and a distance between for second hill
Height of second hill
Total energy for the top of second hill
Work done by friction between tow hill and second hill

Carousel

Task	Data/Formula	Result
Time of 1 revolution
Circumference of the outside path
Radius of the ride
Average angular speed of ride
Distance from the inside rider to the outside rider
Tangential speed of the inside rider
Tangential speed of the outside rider
Centripetal force for the inside rider
Centripetal force for the outside rider
Minimum coefficient of static friction to stand on the edge of platform

Discussion of Valleyfair

In the discussion, you will need to make claims, cite evidence and provide reasoning as you write. Don't just say you had fun, talk physics instead.