Answered: The constant angular acceleration of…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 5CQ: If a rigid body has a constant angular acceleration, what is the functional form of the angular...

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The topic is all about the Angular Motion of Particles. Please use pen and paper to solve and also use three decimal places. Please show the conversion solution. Thank you.

Here are the formulas:

θ=θ_o+ω_o t+1/2 αt^2

ω=ω_0+αt

ω^2=ω_o^2+2α(θ-θ_o)

considering the tangential and normal components of the acceleration in a curvilinear motion of particles:

a_t=rα

a_n=rω^2=vω

The angular motion may be derived from the translational motion of particles by considering the given circle:

s=rθ

ds/dt=r dθ/dt or v=rω

dv/dt=r dω/dt or a=rα

rad
The constant angular acceleration of the rotating disk is a = 12. The angular velocity of
the disk is 24ra, clockwise, when t = 0. Determine the total angle turned by the disk
between t = 0 and t = 4 s.

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