Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

A mechanical wheel initially at rest on the floor begins rolling forward with an angular acceleration of 2$\pi \mathrm{rad} / \mathrm{s}^{2} .$ If the wheel has a radius of $2 \mathrm{m},$ what distance does the wheel travel in 3 seconds?(A) 4$\pi \mathrm{m}$(B) 6$\pi \mathrm{m}$(C) 16$\pi \mathrm{m}$(D) 18$\pi \mathrm{m}$

No Related Courses

Chapter 13

Practice Test 3

Section 1

No Related Subtopics

02:02

A mechanical wheel initial…

01:00

03:23

A wheel of diameter 40.0 c…

02:46

A gyroscope flywheel of ra…

03:36

A wheel of diameter 40.0 $…

02:03

$\cdot$ A wheel turns with…

00:24

A bicycle wheel has an ang…

0:00

A bicyclist starting at re…

01:53

You are given the rate of …

(II) A small rubber wheel …

Hi the given problem angular acceleration in mechanical wheel he has given us and fuck Is equal to two. Bye, radiant per second. The square. Its initial angular velocity is zero as the hell was addressed. Initially radius of the wheel. He's given us our Is equal to two m. And we have to find the distance Travel by the wheel in a time duration of three second. So, first of all, we will find the angular displacement need by the wheel in three seconds, for which we will use second equation of rotational motion according to which the angular displacement will be given by data is equal to omega, not T las off alpha. D. Square. This is zero in the first time plus half alpha, Where alpha is two pi into the square of three seconds, cancelling this. To hear this angular displacement made by the will comes out to be 95 radiant. No, we know that the angular displacement covered. Sorry, The linear displacement covered by a circular hill in a complete rotation. If it is allowed to revolve over the ground in a complete rotation, the angular displacement will be equal to Dubai and the linear displacement will be equal to its circumference. Hence we can say distance linear distance cover by the wheel on to buy. Angular displacement is equal to circumference, which has given us to buy into art. And here are means radius is two m, so this is for white, so for angular displacement half of one. This linear displacement will be for bye bye. Two pi means this is two m. Hence for angular displacement of nine pi, this linear displacement will be two m, multiplied by nine pi means this is 18 by meter. The linear distance covered by the wheel over the ground. Hence, here we can say our option D. Is correct. Thank you.

View More Answers From This Book

Find Another Textbook

A mechanical wheel initially at rest on the floor begins rolling forward…

A wheel of diameter 40.0 cm starts from rest and rotates with a constant ang…

A gyroscope flywheel of radius 2.83 $\mathrm{cm}$ is accelerated fromres…

A wheel of diameter 40.0 $\mathrm{cm}$ starts from rest and rotates with a c…

$\cdot$ A wheel turns with a constant angular acceleration of 0.640 $\mathrm…

A bicycle wheel has an angular acceleration of $1.5 \mathrm{rad} / \mathrm{s…

A bicyclist starting at rest produces a constant angular acceleration of 1.6…

You are given the rate of rotation of a wheel as well as its radius. In each…

(II) A small rubber wheel is used to drive a large pottery wheel. The two wh…

03:47

A car is driving in a circle of radius $r$ at a constant speed $v$ . At what…

A mechanical wheel initially at rest on the floor begins rolling forward wit…

02:42

Two spheres of equal size and equal mass are rotated with an equal amount of…

05:12

A girl of mass m and a boy of mass 2m are sitting on opposite sides of a see…

01:25

A 4 $\mathrm{kg}$ box is accelerated upwards by a string with a breaking str…

01:07

The vertical displacement, $y,$ of a transverse traveling wave is given by t…

02:18

What happens to the electric force between two point charges if the magnitud…

08:48

Directions: Questions 1, 2, and 3 are short free-response questions that req…

01:38

An object moves at constant speed in a circular path. Which of the following…

06:16

Consider two small spheres, one carries a charge of $q_{1}=+4 q$ and the oth…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.