Question

A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 6.00 rev/s; 50.0 revolutions later, its angular speed is 22.0 rev/s. Calculate (a) the angular acceleration (rev/s2), (b) the time required to complete the 50.0 revolutions, (c) the time required to reach the 6.00 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 6.00 rev/s angular speed.

          A disk rotates about its central axis starting from rest and
accelerates with constant angular acceleration. At one time it is
rotating at 6.00 rev/s; 50.0 revolutions later,
its angular speed is 22.0 rev/s.
Calculate (a) the angular acceleration
(rev/s2), (b) the time
required to complete
the 50.0 revolutions, (c) the
time required to reach the 6.00 rev/s angular speed,
and (d) the number of revolutions from
rest until the time the disk reaches
the 6.00 rev/s angular speed.

Show more…

Added by Alberto F.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Umar Sohail Qureshi

11/03/2021

Step 1

However, we don't have the time. But we can use another formula that doesn't require time: ωf^2 = ωi^2 + 2αθ, where θ is the angular displacement. Solving for α gives us α = (ωf^2 - ωi^2) / (2θ). Substituting the given values, we get α = (22^2 - 6^2) / (2*50) = Show more…

Show all steps

lock

Thanks for your feedback!

A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 6.00 rev/s; 50.0 revolutions later, its angular speed is 22.0 rev/s. Calculate (a) the angular acceleration (rev/s2), (b) the time required to complete the 50.0 revolutions, (c) the time required to reach the 6.00 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 6.00 rev/s angular speed.

Play audio

Feedback

Powered by NumerAI

Umar Sohail Qureshi and 59 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later