Sinusoidal Functions As Mathematical Models Ferris Wheel Problem

Sinusoidal Functions As Mathematical Models Ferris Wheel Problem. Sinusoidal Functions as Mathematical Models For each of the problems write a trigonometric function that describes the sinusoidal motion 1 Suppose a waterwheel rotates at 6 revolutions per minute (rpm) You start your stop watch Two seconds later point P on the rim of the wheel is at its greatest height 13 meters above the water.

It is maximum on the 21 st of June (day with the highest number of daylight) and equal to 20 kwh/day We assume that P varies with the time t according to the sinusoidal function P(t) = a cos [b(t d)] + c where t = 0 corresponds to the first of January P is the power in kwh/day and P(t) has a period of 365 days (28 days in February) The minimum value of P is 4 kwh/day.

Ferris Wheel problems (applications of trigonometric

sine cosine height of a rider on a ferris wheel.

Applications of sinusoidal functions in real life

PDF fileSinusoidal Functions as Mathematical Models WS #1 NAME 1) Ferris Wheel Problem As you ride the Ferris wheel your distance from the ground varies sinusoidally with time When the last seat is filled and the Ferris wheel starts your seat is at the position shown below in the figure Let t be the number of seconds that have elapsed since the Ferris wheel started.

Use Sinusoidal Functions to Solve Applications with

PDF fileMath 2204/05 Sinusoidal Word Problems Name Chapter 3 1 2 In Canada’s wonderland there is a roller coaster that is a continuous series of identical hills that are 18m high from the ground The platform to get on the ride is on top of the first hill It takes 3 seconds for the coaster to reach the bottom of the hill 2m off the ground.