/*! 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. 96 96. Period of a Pendulum The per... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 96 (page 271)

96. Period of a Pendulum The period T (in seconds) of a simple pendulum as a function of its length l (in feet) is

given by

Tl=2蟺l32.2T

(a) Express the length l as a function of the period T.

(b) How long is a pendulum whose period is 3 seconds?

Short Answer

Expert verified

Part (a). The expression of length as the function of length l is:

lT=32.2T4蟺22

Part (b). The length of the pendulum is 7meters.

Step by step solution

01

Part (a) Step 1. Express the length l  as a function of the period T. 

The given function is Tl=2蟺l32.2.

Expressing the length l as a function of the period T is:

T=2蟺l32.2T2=4蟺2l32.232.2T2=4蟺2IlT=32.2T4蟺22

02

Part (b) Step 1. Find the time period

Substituting T=3in the function

localid="1646327026409" IT=32.2T24蟺2, we get:

IT=32.2T24蟺2l3=32.2324蟺2I3=7

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

Evaluate each expression using the graphs of y=f(x)and y=g(x)shown in the figure.

(a)g鈭�f-1 (b) g鈭�f0(c) f鈭�g-1(d) f鈭�g4.

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

Solve:

x2+3x=4x

solve each equation. Verify your results using a graphing utility.

5x2+8=1252x

The graph of an exponential function is given. Match each graph to one of the following functions.

The domain of a one-to-one functiong is[0,15] , and its range is(0,8). State the domain and the range ofg-1 .
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

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.