/*! 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.76 A car starts from rest on a curv... [FREE SOLUTION] | 91影视

91影视

Find study content
Learning Materials

Discover learning materials by subject, university or textbook.

Explanations

Textbooks
All Subjects

Anthropology

Archaeology

Architecture

Art and Design

Bengali

Biology

Business Studies

Greek

Chemistry

Chinese

Combined Science

Computer Science

Economics

Engineering

English

English Literature

Environmental Science

French

Geography

German

History

Hospitality and Tourism

Human Geography

Italian

Japanese

Law

Macroeconomics

Marketing

Math

Media Studies

Medicine

Microeconomics

Music

Nursing

Nutrition and Food Science

Physics

Polish

Politics

Psychology

Religious Studies

Sociology

Spanish

Sports Sciences

Translation

All Subjects

Biology

Business Studies

Chemistry

Combined Science

Computer Science

Economics

English

Environmental Science

Geography

History

Math

Physics

Psychology

Sociology
Features
Features

Discover all of these amazing features with a free account.

Flashcards

91影视 AI

Notes

Study Plans

Study Sets
What鈥檚 new?

Flashcards
Study your flashcards with three learning modes.

Study Sets
All of your learning materials stored in one place.

Notes
Create and edit notes or documents.

Study Plans
Organise your studies and prepare for exams.
91影视
Discover

All the hacks around your studies and career - in one place.

Find a degree

Magazine
Featured

Magazine
Trusted advice for anyone who wants to ace their studies & career.

The largest student job board with the most exciting opportunities.

Verified student deals from top brands.

Discover our mobile app to take your studies anywhere.

Learning Materials

Features

Discover

Chapter 4: Q.76 (page 109)

A car starts from rest on a curve with a radius of $120 m$ and accelerates tangentially at $1.0 m / s^{2}$ . Through what angle will the car have traveled when the magnitude of its total acceleration is $2.0 m / s^{2}$ ?

Short Answer

Expert verified

$胃 = 49.64 掳$

Step by step solution

01

Given Information

We are given with:

$radius = r = 120 m tangential acceleration = a_{t} = 1 m / s^{2} total acceleration = a = 2 m / s^{2}$

02

Calculation

The car have traveled when the magnitude of its total acceleration is $a = 2 m / s^{2}$ .

As we know the formula for angle:

$胃 = \frac{d}{r} d = distance r = radius$

For distance:

localid="1648908492211" $d = \frac{1}{2} a_{t} t^{2} t = \frac{v}{a_{t}} t = time to traveled the car v = velocity of car d = \frac{v^{2}}{2 a_{t}} a_{r} r = v^{2} d = \frac{a_{r} r}{2 a_{t}} a_{r} = radical acceleration$

By putting values of distance and radius in angle formula:

localid="1648098776664" $胃 = \frac{a_{r} r}{2 a_{t} r} 胃 = \frac{a_{r}}{2 a_{t}} 胃 = \frac{1}{2} \sqrt{\frac{a^{2}}{{a_{t}}^{2}} - 1}$

Now putting the values in formula, the angle is:

$胃 = \frac{1}{2} \sqrt{\frac{2^{2}}{1^{2}} - 1} 胃 = 0.866 rad$

Converting angle from radian to degree:

localid="1649071100890" $胃 = 0.866 rad 脳 \frac{180 掳}{蟺 rad} 胃 = 49.64 掳$

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

A 5.0-m-diameter merry-go-round is initially turning with a $4.0 s$ period. It slows down and stops in $20 s$ .

a. Before slowing, what is the speed of a child on the rim?

b. How many revolutions does the merry-go-round make as it stops?

38. II FIGURE EX4.38 shows the angular-velocity-versus-time graph for a particle moving in a circle. How many revolutions does the object make during the first 4 s?

In one contest at the county fair, seen in FIGURE CP4.81, a spring-loaded plunger launches a ball at a speed of $3.0 m / s$ from one corner of a smooth, flat board that is tilted up at a $20 掳$ angle. To win, you must make the ball hit a small target at the adjacent corner, $2.50 m$ away. At what angle $胃$ should you tilt the ball launcher?

A particle moving in the xy--plane has velocity ${\overset{鈫�}{v}}_{0} = v_{0 x} \hat{谋} + v_{0 y} \hat{J}$ CALC at $t = 0$ . It undergoes acceleration , where $b$ and $c$ are constants. Find an expression for the particle's velocity at a later time $t$ .

For a projectile, which of the following quantities are constant during the flight: $x, y, r, v_{x}, v_{y}, v, a_{x}, a_{y}$ ? Which of these quantities are zero throughout the flight?

See all solutions

Recommended explanations on Physics Textbooks

Fundamentals of Physics

Read Explanation

Fluids

Read Explanation

Famous Physicists

Read Explanation

Mechanics and Materials

Read Explanation

Force

Read Explanation

Rotational Dynamics

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.