/*! 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} Q. 107 Two pulleys, one with radius 2 i... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 107 (page 366)

Two pulleys, one with radius 2 inches and the other with radius 8 inches, are connected by a belt. (See the figure.) If the 2-inch pulley is caused to rotate at 3 revolutions per minute, determine the revolutions per minute of the 8-inch pulley.

Short Answer

Expert verified

The revolution per minute of 8-inch pulley is 0.75 rpm.

Step by step solution

01

Given

Radius of small pulley(r1)=2inch

Radius of large pulley(r2)=8inch

The 2-inch pulley is caused to rotate at 3 revolutions per minute.

02

Calculate the revolution per minute of large pulley.

The circumference of the small pulley is computed as,

C1=2蟺谤1=2脳3.14脳2=12.56inch

The circumference of the large pulley is computed as,

C2=2蟺谤2=2脳3.14脳8=50.24inch

Since the revolution per minute of the pulley is inversely proportional to its radius.

Therefore,

RpmofsmallpullyRpmoflargepulley=C2C13Rpmoflargepulley=50.2412.56Rpmoflargepulley=3脳12.5650.24Rpmoflargepulley=0.75

The revolution per minute of the 8-inch pulley is 0.75 rpm.

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

Hurricanes are categorized using the Saffir- Simpson Hurricane Scale, with winds 111-130miles per hour (mph) corresponding to a category 3 hurricane, winds 131-155mph corresponding to a category 4 hurricane, and winds in excess of 155 mph corresponding to a category
5hurricane. The following data represent the number of major hurricanes in the Atlantic Basin (category 3,4or 5) each decade from 1921to2010.

(a) Draw a scatter diagram of the data for one period.

(b) Find a sinusoidal function of the form y=Asin(蝇x-蠒)+Bthat models the data.

(c) Draw the sinusoidal function found in part (b) on the scatter diagram.

(d) Use a graphing utility to find the sinusoidal function of best fit.

(e) Draw the sinusoidal function of best fit on a scatter diagram of the data.

The domain of the tangent function is _____.

Explain how the amplitude and period of a sinusoidal graph are used to establish the scale on each coordinate axis.

According to the Old Farmer鈥檚 Almanac,

in Miami, Florida, the number of hours of sunlight on the

summer solstice of 2011 was 13.75, and the number of hours.

(a)

Find a sinusoidal function of the form

y=Asin(蝇x-蠒)+Bthat models the data.

of sunlight on the winter solstice was 10.55.

(b)

Use the function found in part (a) to predict the number

of hours of sunlight on April 1, the 91st day of the year.

(c) Draw a graph of the function found in part (a).

(d)

Look up the number of hours of sunlight for April 1

in the Old Farmer鈥檚 Almanac, and compare the actual

hours of daylight to the results found in part (b).

Angular Speed of a Race Car A race car is driven around a circular track at a constant speed of 180 miles per hour. If the diameter of the track is 12 mile, what is the angular speed of the car? Express your answer in revolutions per hour (which is equivalent to laps per hour).
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

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.