Question

A rotating wheel accelerates at a constant rate from an angular speed of 24 rad/s to 36 rad/s in a time interval of 3 s. What is the angular acceleration in rad/s/s?

Solution

Verified

Step 1

1 of 2

Identify the unknown:\underline{\text{Identify the unknown:}}

The angular acceleration

List the Knowns:\underline{\text{List the Knowns:}}

Initial angular speed: ωi=24  rad/s\omega_i= 24 \;\mathrm{rad/s}

Final angular speed: ωf=36  rad/s\omega_f= 36 \;\mathrm{rad/s}

Time interval: Δt=3  s\Delta t= 3 \;\mathrm{s}

Set Up the Problem:\underline{\text{Set Up the Problem:}}

The angular acceleration:

α=ΔωΔt=ωfωiΔt\alpha = \dfrac{\Delta \omega}{\Delta t} = \dfrac{\omega_f - \omega_i}{\Delta t}

Solve the Problem:\underline{\text{Solve the Problem:}}

α=36243=4  rad/s2\alpha = \dfrac{36 - 24}{3} = \boxed{4 \;\mathrm{rad/s^2}}

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Recommended textbook solutions

Mathematical Methods in the Physical Sciences 3rd Edition by Mary L. Boas

Mathematical Methods in the Physical Sciences

3rd EditionMary L. Boas
3,355 solutions
Fundamentals of Physics 10th Edition by David Halliday, Jearl Walker, Robert Resnick

Fundamentals of Physics

10th EditionDavid Halliday, Jearl Walker, Robert Resnick
7,188 solutions
Matter and Interactions 4th Edition by Bruce A. Sherwood, Ruth W. Chabay

Matter and Interactions

4th EditionBruce A. Sherwood, Ruth W. Chabay
3,217 solutions

Related questions