(a) Find the angular displacement after 2.00 s, in both radians and revolutions. Use Equation 7.8, setting w; = 1.60 rad/s, a = 3.50 rad/s2, and t = 2.00 s. A0 = w;t +at Að = (1.60 rad/s) (2.00 s) + (3.50 rad/s) (2.00 s)? A0 = 10.2 rad Convert radians to revolutions. A0 = (A@ rad)(1.00 rev/27 rad) AO = | 16.02 rev Your response differs from the correct answer by more than 100%.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Solution
(a) Find the angular displacement after 2.00 s, in
both radians and revolutions.
1
A0 = w;t +
Use Equation 7.8, setting @;
1.60 rad/s, a =
3.50 rad/s2, and t = 2.00 s.
1
Að = (1.60 rad/s) (2.00 s) + (3.50 rad/s²) (2.00 s)²
2
A0 = 10.2
rad
Convert radians to revolutions.
A0 =
(Am rad)(1.00 rev/2r rad)
AO = 16.02
X rev
Your response differs from the correct answer by more
than 100%.
(b) What is the angular speed of the wheel at t =
2.00 s?
Substitute the same values into Equation 7.7.
@ = @; + at = 1.60 rad/s + (3.50 rad/s²)(2.00 s)
W =
rad/s
Remarks The result of part (b) could also be obtained from Equation 7.9 and the results from part (a).
- IN
Transcribed Image Text:Solution (a) Find the angular displacement after 2.00 s, in both radians and revolutions. 1 A0 = w;t + Use Equation 7.8, setting @; 1.60 rad/s, a = 3.50 rad/s2, and t = 2.00 s. 1 Að = (1.60 rad/s) (2.00 s) + (3.50 rad/s²) (2.00 s)² 2 A0 = 10.2 rad Convert radians to revolutions. A0 = (Am rad)(1.00 rev/2r rad) AO = 16.02 X rev Your response differs from the correct answer by more than 100%. (b) What is the angular speed of the wheel at t = 2.00 s? Substitute the same values into Equation 7.7. @ = @; + at = 1.60 rad/s + (3.50 rad/s²)(2.00 s) W = rad/s Remarks The result of part (b) could also be obtained from Equation 7.9 and the results from part (a). - IN
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