/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 98 A Ferris wheel has a radius of 2... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 98

A Ferris wheel has a radius of 25 feet. The wheel is rotating at two revolutions per minute. Find the linear speed, in feet per minute, of a seat on this Ferris wheel.

Short Answer

Expert verified
The linear speed of a seat on the Ferris wheel is \(100\pi\) feet per minute.

Step by step solution

01

Find Angular Speed in Radians

First, convert the angular speed from revolutions per minute to radians per minute. This is done using the conversion factor that one revolution is equal to \(2\pi\) radians. Therefore, the angular speed in radians per minute is \(2 * 2\pi = 4\pi\) radians per minute.
02

Apply the Formula for Linear Speed

Now apply the formula for finding the linear speed in circular motion, which is the radius of the circle multiplied by the angular speed in radians. Plugging in the given values, the linear speed is \(25 feet * 4\pi\) radians per minute.
03

Simplify the Result

The result in step 2 simplifies to \(100\pi\) feet per minute. This is the linear speed of a seat on the Ferris wheel.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Use a right triangle to write each expression as an algebraic expression. Assume that \(x\) is positive and that the given inverse trigonometric function is defined for the expression in \(x\). $$ \cot \left(\sin ^{-1} \frac{\sqrt{x^{2}-9}}{x}\right) $$

Determine the domain and the range of each function. $$ f(x)=\sin \left(\sin ^{-1} x\right) $$

Use a graphing utility to graph two periods of the function. $$y=0.2 \sin \left(\frac{\pi}{10} x+\pi\right)$$

Find the slant asymptote of $$f(x)=\frac{2 x^{2}-7 x-1}{x-2}$$

Determine the domain and the range of each function. $$ f(x)=\cos ^{-1}(\sin x) $$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.