A 4.3- cm-radius ball rolls down an inclined plane from rest at the top. The angular...

Free

80.2K

Verified Solution

Question

Physics

A 4.3- cm-radius ball rolls down an inclined plane from rest atthe top. The angular acceleration of the rolling ball about itscenter is 245 rad/s², and its angular speed at thebottom is 44.4 rad/s. How long is the plane?

Answer & Explanation Solved by verified expert

4.4 Ratings (819 Votes)

GivenÂ Â

Initial angular speedÂ Â (?₀ ) = 0

Final angular speedÂ Â (? )Â Â Â =Â Â Â 44.4rad/s

Radius of ballÂ Â Â Â Â Â Â Â Â Â Â Â (r )Â Â Â Â =Â Â Â 4.3 cmÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =Â Â Â 0.043 m

Â Â Â

Angular accelerationÂ Â Â Â (?)Â Â Â Â =Â Â 245 rad/s²

--------------------------------------------------------------------------------------------------------

Â Â Â

The third equation of motion in rotational motion is

?²=?₀² + 2 ? ?

(44.4 rad/s)² =(0)² + 2 ( 245 rad/s²) ( ? )

?The angular displacement (?) =4.023 rad

Length of inclineÂ Â Â LÂ Â Â =Â Â Â ? r

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â LÂ Â Â =Â Â 4.023rad x 0.043 m

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.173 m

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member

A 4.3- cm-radius ball rolls down an inclined plane from rest at the top. The angular...

Free

80.2K

Verified Solution

Question

Physics

A 4.3- cm-radius ball rolls down an inclined plane from rest atthe top. The angular acceleration of the rolling ball about itscenter is 245 rad/s², and its angular speed at thebottom is 44.4 rad/s. How long is the plane?

Answer & Explanation Solved by verified expert

Get Answers to Unlimited Questions

Membership Benefits:

Other questions asked by students

RS 4 00 Negative Mark s 1 0 The radius of CI ion is 38...

a) Using the method of undetermined coefficients, find the general solution of yÊº + 4yÊ¹ âˆ’ 5y...

Suppose that you wish to save enough to fund $4,500 per month (in today's purchasing power)...

Find the following percentile for the standard normal distribution. Draw a sketch and show the R...

Use fundamental identities to find the values of the trigonometric functions for the given condition...

C cds caolacourses edisonlearning com lessons assessmentplaye Question 1 2 3 4 AMOUNT PER 1...

A sports academy decides to survey athletes at the academy about how closely they follow...

Question 2 20 points Select the appropriate distribution for part a c and justify your...

Find x where 0?x? 2.4?2 tan x-??2 = 3?2 tan >x?[?]'+T

At year-end, the perpetual inventory records of Monty Company showed merchandise inventory of...

how do i solve Chapter 5 problem 54

What is the difference between fixed expenses and overhead operating expenses? Are they the same...

A 4.3- cm-radius ball rolls down an inclined plane from rest at the top. The angular...

Free

80.2K

Verified Solution

Question

Physics

A 4.3- cm-radius ball rolls down an inclined plane from rest atthe top. The angular acceleration of the rolling ball about itscenter is 245 rad/s2, and its angular speed at thebottom is 44.4 rad/s. How long is the plane?

Answer & Explanation Solved by verified expert

Get Answers to Unlimited Questions

Membership Benefits:

Other questions asked by students

A 4.3- cm-radius ball rolls down an inclined plane from rest atthe top. The angular acceleration of the rolling ball about itscenter is 245 rad/s², and its angular speed at thebottom is 44.4 rad/s. How long is the plane?