/*! 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 75 Determine whether each statement... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 75

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I analyzed simple harmonic motion in which the period was 10 seconds and the frequency was 0.2 oscillation per second.

Short Answer

Expert verified
The statement does not make sense as it contradicts the fundamental understanding that the period is the reciprocal of the frequency in simple harmonic motion.

Step by step solution

01

Identify Key Parameters

In this statement, the period (T) is given as 10 seconds and the frequency (f) is given as 0.2 oscillations per second.
02

Recall the Relationship between Period and Frequency

From learning about simple harmonic motion, the period (T) and frequency (f) are reciprocal to each other, following this formula: \( f = \frac{1}{T} \).
03

Calculate Theoretical Frequency

Using the provided period in the relationship, the reciprocal of period 10 seconds yields a frequency of \( f = \frac{1}{T} = \frac{1}{10} = 0.1 \) oscillations per second.
04

Compare Calculated Frequency with Given Frequency

The calculated frequency of 0.1 does not match the given frequency of 0.2 oscillations per second.
05

Conclusion

Therefore, the statement does not make sense because the given period and frequency do not comply with the reciprocal relationship of frequency and period in simple harmonic motion.

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

Explain how to find the length of a circular arc.

Use a graphing utility to graph two periodsof the function. Use a graphing utility to graph \(y=\sin x\) and \(y=x-\frac{x^{3}}{6}+\frac{x^{5}}{120}\) in a \(\left[-\pi, \pi, \frac{\pi}{2}\right]\) by \([-2,2,1]\) viewing rectangle. How do the graphs compare?

In Exercises \(113-116\), use the keys on your calculator or graphing utility for converting an angle in degrees, minutes, and seconds \(\left(D^{\circ} M^{\prime} S^{\prime \prime}\right)\) into decimal form, and vice versa. In Exercises \(113-114\), convert each angle to a decimal in degrees. Round your answer to two decimal places. $$ 65^{\circ} 45^{\prime} 20^{\prime \prime} $$

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.

Describe the restriction on the tangent function so that it has an inverse function.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

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.