Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a cylindrical container mounted so that it can be rotated about its axis by turning a hand crank. The outer wall of the cylinder is perforated with small holes. You put the wet leaves in the container and turn the crank to spin off the water. The radius of the container is 12 cm. When the cylinder is rotating at 2.0 revolutions per second, what is the magnitude of the centripetal acceleration at the outer wall?

19$m / s^{2}$

Physics 101 Mechanics

Chapter 5

Dynamics of Uniform Circular Motion

Newton's Laws of Motion

Applying Newton's Laws

Cornell University

University of Michigan - Ann Arbor

University of Washington

McMaster University

Lectures

03:28

Newton's Laws of Moti…

03:43

In physics, dynamics is th…

0:00

In a home laundry dryer, a…

02:55

The tub of a washer goes i…

01:15

It has been suggested that…

03:14

A circular disk of radius …

08:41

A disk rotates with consta…

04:13

02:03

A uniform cylinder of radi…

A particle's centripe…

03:38

A wind turbine is rotating…

06:45

a home laundry dryer, a cy…

00:32

A cylindrical space statio…

(II) A small rubber wheel …

02:21

A long string is wrapped a…

08:18

A circular bird feeder $19…

Centrifuge A centrifuge at…

02:33

Some bacteria are propelle…

02:01

An amusement park ride con…

02:46

02:08

A solid cylinder of mass 2…

in this problem, we have to find the angular acceleration of the kitchen device huge for drying lettuce leaves and were given the radius of the device takes one second to complete two revolutions. So from that second piece of information, we can actually get it very well that we need, which is t the period. Now the period describes the amount of time that it takes for an object complete one full revolution. And since we know that there's two revolutions in one second, it must take half a second to complete a full revolution. From here, we can use the equation that we know for tea, which is two pi over the angular velocity, Um which will make up Omega is equal to the over our. So we can rewrite tease we have before as to tie our over me. So from here we can rewrite the equation for V which is going to be too. Hi are over tea. And now, in order to find the angular acceleration, we can plug on a miracle values into this equation. Here. Alfa is V squared over R. So when we plug in and we simplify, we get that Alfa is equal to four pi squared R over t's weird and now all that's left to do is plugging our numerical values. We get four pi squared times 0.12 meters all over 1/2 2nd squared move to a new whiteboard cause woke up pretty crowded and that is equal to 18.95 with units of meters per second squared which we can round 2 19 um, meters per second squared and there's your answer.

View More Answers From This Book

Find Another Textbook

Newton's Laws of Motion are three physical laws that, laid the foundati…

In physics, dynamics is the branch of physics concerned with the study of fo…

In a home laundry dryer, a cylindrical tub containing wet clothes is rotated…

The tub of a washer goes into its spin-dry cycle, starting from rest and rea…

It has been suggested that rotating cylinders about 10 mi long and 5.0 mi in…

A circular disk of radius $10 \mathrm{cm}$ has a constant angular accelerati…

A disk rotates with constant angular acceleration. The initial angular speed…

A uniform cylinder of radius 10 $\mathrm{cm}$ and mass 20 $\mathrm{kg}$ is

A particle's centripetal acceleration is $a_{\mathrm{C}}=4.0 \mathrm{m}…

A wind turbine is rotating counterclockwise at 0.5 rev/ s and slows to a sto…

a home laundry dryer, a cylindrical tub containing wet clothes is rotated st…

A cylindrical space station with a $40-\mathrm{m}$ radius is rotating so tha…

(II) A small rubber wheel is used to drive a large pottery wheel, and they a…

A long string is wrapped around a $6.0$ -cm-diameter cylinder, initially at …

A circular bird feeder $19 \mathrm{cm}$ in radius has rotational inertia $0.…

Centrifuge A centrifuge at the same museum is used to separate seeds of diff…

Some bacteria are propelled by biological motors that spin hair- like flagel…

An amusement park ride consists of a large vertical cylinder that spins abou…

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

A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwis…

04:36

On a banked race track, the smallest circular path on which cars can move ha…

08:00

MMH On a distant planet, golf is just as popular as it is on earth. A golfer…

01:25

A fighter jet is launched from an aircraft carrier with the aid of its own e…

03:07

A 40.0-kg boy, riding a 2.50-kg skateboard at a velocity of +5.30 m/s across…

10:01

An 85-kg jogger is heading due east at a speed of 2.0 m/s. A 55-kg jogger is…

01:27

Consult Multiple-Concept Example 5 for insight into solving this problem. A …

06:01

ssm mm A rocket of mass $4.50 \times 10^{5} \mathrm{kg}$ is in flight. Its t…

01:41

A woman and her dog are out for a morning run to the river, which is located…

07:07

mmh A projectile is launched from ground level at an angle of 12.0- above th…

03:57

ssm A pitcher throws a curveball that reaches the catcher in 0.60 s. The bal…