A carnival Ferris wheel with a radius of 9.5m rotates once every 10 seconds. The bottom of the wheel is 1.2 m above the ground. The rider gets on the ride at the bottom of the wheel. a. Find the equation of a sine function that gives a rider's height, h, above the ground, in metres, as a function of the time, t, in seconds. b. Determine the height of the rider after 1m 12s on the ride.

A carnival Ferris wheel with a radius of 9.5m rotates once every 10 seconds. The bottom of the wheel is 1.2 m above the ground. The rider gets on the ride at the bottom of the wheel. a. Find the equation of a sine function that gives a rider's height, h, above the ground, in metres, as a function of the time, t, in seconds. b. Determine the height of the rider after 1m 12s on the ride.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

A carnival Ferris wheel with a radius of 9.5m rotates once every 10 seconds. The bottom of the
wheel is 1.2 m above the ground. The rider gets on the ride at the bottom of the wheel.
a. Find the equation of a sine function that gives a rider's height, h, above the ground, in
metres, as a function of the time, t, in seconds.
b. Determine the height of the rider after 1m 12s on the ride.

c. At what time(s) in the first cycle is the rider 2 m above the ground?

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